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Finding the Third Proportional to 442,262.53 and 662,700.23

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Solution

The third proportional to 442,262.53 and 662,700.23 is: 993,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,262.53 : 662,700.23 = 662,700.23 : x
  2. Step 2: Convert to fraction form
    442,262.53/662,700.23 = 662,700.23/x
  3. Step 3: Cross multiply
    442,262.53x = 662,700.23 × 662,700.23
  4. Step 4: Simplify right side
    442,262.53x = 439,171,600,640.68
  5. Step 5: Solve for x
    x = 439,171,600,640.68/442,262.53
  6. Step 6: Final answer
    x = 993,011.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.