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Finding the Third Proportional to 442,273.50 and 662,715.75

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Solution

The third proportional to 442,273.50 and 662,715.75 is: 993,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,273.50 : 662,715.75 = 662,715.75 : x
  2. Step 2: Convert to fraction form
    442,273.50/662,715.75 = 662,715.75/x
  3. Step 3: Cross multiply
    442,273.50x = 662,715.75 × 662,715.75
  4. Step 4: Simplify right side
    442,273.50x = 439,192,165,298.06
  5. Step 5: Solve for x
    x = 439,192,165,298.06/442,273.50
  6. Step 6: Final answer
    x = 993,032.97

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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.