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Finding the Third Proportional to 415,273.50 and 652,423.50

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Solution

The third proportional to 415,273.50 and 652,423.50 is: 1,025,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,273.50 : 652,423.50 = 652,423.50 : x
  2. Step 2: Convert to fraction form
    415,273.50/652,423.50 = 652,423.50/x
  3. Step 3: Cross multiply
    415,273.50x = 652,423.50 × 652,423.50
  4. Step 4: Simplify right side
    415,273.50x = 425,656,423,352.25
  5. Step 5: Solve for x
    x = 425,656,423,352.25/415,273.50
  6. Step 6: Final answer
    x = 1,025,002.61

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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.