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Finding the Third Proportional to 508,995,094.50 and 778,284,051.75

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Solution

The third proportional to 508,995,094.50 and 778,284,051.75 is: 1,190,043,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,995,094.50 : 778,284,051.75 = 778,284,051.75 : x
  2. Step 2: Convert to fraction form
    508,995,094.50/778,284,051.75 = 778,284,051.75/x
  3. Step 3: Cross multiply
    508,995,094.50x = 778,284,051.75 × 778,284,051.75
  4. Step 4: Simplify right side
    508,995,094.50x = 605,726,065,208,396,672
  5. Step 5: Solve for x
    x = 605,726,065,208,396,672/508,995,094.50
  6. Step 6: Final answer
    x = 1,190,043,031.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.