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Finding the Third Proportional to 413,617.50 and 663,617.25

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Solution

The third proportional to 413,617.50 and 663,617.25 is: 1,064,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617.50 : 663,617.25 = 663,617.25 : x
  2. Step 2: Convert to fraction form
    413,617.50/663,617.25 = 663,617.25/x
  3. Step 3: Cross multiply
    413,617.50x = 663,617.25 × 663,617.25
  4. Step 4: Simplify right side
    413,617.50x = 440,387,854,497.56
  5. Step 5: Solve for x
    x = 440,387,854,497.56/413,617.50
  6. Step 6: Final answer
    x = 1,064,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.