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Finding the Third Proportional to 501,940 and 754,028

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Solution

The third proportional to 501,940 and 754,028 is: 1,132,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,940 : 754,028 = 754,028 : x
  2. Step 2: Convert to fraction form
    501,940/754,028 = 754,028/x
  3. Step 3: Cross multiply
    501,940x = 754,028 × 754,028
  4. Step 4: Simplify right side
    501,940x = 568,558,224,784
  5. Step 5: Solve for x
    x = 568,558,224,784/501,940
  6. Step 6: Final answer
    x = 1,132,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.