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Finding the Third Proportional to 453,024 and 544,059

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Solution

The third proportional to 453,024 and 544,059 is: 653,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,024 : 544,059 = 544,059 : x
  2. Step 2: Convert to fraction form
    453,024/544,059 = 544,059/x
  3. Step 3: Cross multiply
    453,024x = 544,059 × 544,059
  4. Step 4: Simplify right side
    453,024x = 296,000,195,481
  5. Step 5: Solve for x
    x = 296,000,195,481/453,024
  6. Step 6: Final answer
    x = 653,387.45

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.