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Finding the Third Proportional to 261,542.04 and 554,470.31

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Solution

The third proportional to 261,542.04 and 554,470.31 is: 1,175,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542.04 : 554,470.31 = 554,470.31 : x
  2. Step 2: Convert to fraction form
    261,542.04/554,470.31 = 554,470.31/x
  3. Step 3: Cross multiply
    261,542.04x = 554,470.31 × 554,470.31
  4. Step 4: Simplify right side
    261,542.04x = 307,437,327,443.85
  5. Step 5: Solve for x
    x = 307,437,327,443.85/261,542.04
  6. Step 6: Final answer
    x = 1,175,479.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.