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Finding the Third Proportional to 501,731.72 and 715,227.47

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Solution

The third proportional to 501,731.72 and 715,227.47 is: 1,019,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,731.72 : 715,227.47 = 715,227.47 : x
  2. Step 2: Convert to fraction form
    501,731.72/715,227.47 = 715,227.47/x
  3. Step 3: Cross multiply
    501,731.72x = 715,227.47 × 715,227.47
  4. Step 4: Simplify right side
    501,731.72x = 511,550,332,054.53
  5. Step 5: Solve for x
    x = 511,550,332,054.53/501,731.72
  6. Step 6: Final answer
    x = 1,019,569.45

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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.