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Finding the Third Proportional to 502,636 and 758,592

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Solution

The third proportional to 502,636 and 758,592 is: 1,144,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,636 : 758,592 = 758,592 : x
  2. Step 2: Convert to fraction form
    502,636/758,592 = 758,592/x
  3. Step 3: Cross multiply
    502,636x = 758,592 × 758,592
  4. Step 4: Simplify right side
    502,636x = 575,461,822,464
  5. Step 5: Solve for x
    x = 575,461,822,464/502,636
  6. Step 6: Final answer
    x = 1,144,887.80

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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.