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Finding the Third Proportional to 340,207.50 and 500,469

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Solution

The third proportional to 340,207.50 and 500,469 is: 736,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,207.50 : 500,469 = 500,469 : x
  2. Step 2: Convert to fraction form
    340,207.50/500,469 = 500,469/x
  3. Step 3: Cross multiply
    340,207.50x = 500,469 × 500,469
  4. Step 4: Simplify right side
    340,207.50x = 250,469,219,961
  5. Step 5: Solve for x
    x = 250,469,219,961/340,207.50
  6. Step 6: Final answer
    x = 736,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.