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Finding the Third Proportional to 501,829 and 715,375

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Solution

The third proportional to 501,829 and 715,375 is: 1,019,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,829 : 715,375 = 715,375 : x
  2. Step 2: Convert to fraction form
    501,829/715,375 = 715,375/x
  3. Step 3: Cross multiply
    501,829x = 715,375 × 715,375
  4. Step 4: Simplify right side
    501,829x = 511,761,390,625
  5. Step 5: Solve for x
    x = 511,761,390,625/501,829
  6. Step 6: Final answer
    x = 1,019,792.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.