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Finding the Third Proportional to 453,507.50 and 655,566

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Solution

The third proportional to 453,507.50 and 655,566 is: 947,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,507.50 : 655,566 = 655,566 : x
  2. Step 2: Convert to fraction form
    453,507.50/655,566 = 655,566/x
  3. Step 3: Cross multiply
    453,507.50x = 655,566 × 655,566
  4. Step 4: Simplify right side
    453,507.50x = 429,766,780,356
  5. Step 5: Solve for x
    x = 429,766,780,356/453,507.50
  6. Step 6: Final answer
    x = 947,650.88

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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.