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Finding the Third Proportional to 261,921.75 and 387,973.13

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Solution

The third proportional to 261,921.75 and 387,973.13 is: 574,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,921.75 : 387,973.13 = 387,973.13 : x
  2. Step 2: Convert to fraction form
    261,921.75/387,973.13 = 387,973.13/x
  3. Step 3: Cross multiply
    261,921.75x = 387,973.13 × 387,973.13
  4. Step 4: Simplify right side
    261,921.75x = 150,523,145,722.27
  5. Step 5: Solve for x
    x = 150,523,145,722.27/261,921.75
  6. Step 6: Final answer
    x = 574,687.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.