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Finding the Third Proportional to 368,567 and 788,369

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Solution

The third proportional to 368,567 and 788,369 is: 1,686,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,567 : 788,369 = 788,369 : x
  2. Step 2: Convert to fraction form
    368,567/788,369 = 788,369/x
  3. Step 3: Cross multiply
    368,567x = 788,369 × 788,369
  4. Step 4: Simplify right side
    368,567x = 621,525,680,161
  5. Step 5: Solve for x
    x = 621,525,680,161/368,567
  6. Step 6: Final answer
    x = 1,686,330.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.