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Finding the Third Proportional to 501,938 and 715,497

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Solution

The third proportional to 501,938 and 715,497 is: 1,019,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,938 : 715,497 = 715,497 : x
  2. Step 2: Convert to fraction form
    501,938/715,497 = 715,497/x
  3. Step 3: Cross multiply
    501,938x = 715,497 × 715,497
  4. Step 4: Simplify right side
    501,938x = 511,935,957,009
  5. Step 5: Solve for x
    x = 511,935,957,009/501,938
  6. Step 6: Final answer
    x = 1,019,918.71

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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.