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Finding the Third Proportional to 240,387.75 and 514,127.25

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Solution

The third proportional to 240,387.75 and 514,127.25 is: 1,099,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,387.75 : 514,127.25 = 514,127.25 : x
  2. Step 2: Convert to fraction form
    240,387.75/514,127.25 = 514,127.25/x
  3. Step 3: Cross multiply
    240,387.75x = 514,127.25 × 514,127.25
  4. Step 4: Simplify right side
    240,387.75x = 264,326,829,192.56
  5. Step 5: Solve for x
    x = 264,326,829,192.56/240,387.75
  6. Step 6: Final answer
    x = 1,099,585.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.