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Finding the Third Proportional to 497,289 and 750,069

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Solution

The third proportional to 497,289 and 750,069 is: 1,131,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,289 : 750,069 = 750,069 : x
  2. Step 2: Convert to fraction form
    497,289/750,069 = 750,069/x
  3. Step 3: Cross multiply
    497,289x = 750,069 × 750,069
  4. Step 4: Simplify right side
    497,289x = 562,603,504,761
  5. Step 5: Solve for x
    x = 562,603,504,761/497,289
  6. Step 6: Final answer
    x = 1,131,341.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.