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Finding the Third Proportional to 360,267.75 and 521,812.13

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Solution

The third proportional to 360,267.75 and 521,812.13 is: 755,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,267.75 : 521,812.13 = 521,812.13 : x
  2. Step 2: Convert to fraction form
    360,267.75/521,812.13 = 521,812.13/x
  3. Step 3: Cross multiply
    360,267.75x = 521,812.13 × 521,812.13
  4. Step 4: Simplify right side
    360,267.75x = 272,287,893,797.02
  5. Step 5: Solve for x
    x = 272,287,893,797.02/360,267.75
  6. Step 6: Final answer
    x = 755,793.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.