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Finding the Third Proportional to 288,704 and 453,522

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Solution

The third proportional to 288,704 and 453,522 is: 712,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,704 : 453,522 = 453,522 : x
  2. Step 2: Convert to fraction form
    288,704/453,522 = 453,522/x
  3. Step 3: Cross multiply
    288,704x = 453,522 × 453,522
  4. Step 4: Simplify right side
    288,704x = 205,682,204,484
  5. Step 5: Solve for x
    x = 205,682,204,484/288,704
  6. Step 6: Final answer
    x = 712,432.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.