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Finding the Third Proportional to 413,583.75 and 638,712.75

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Solution

The third proportional to 413,583.75 and 638,712.75 is: 986,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,583.75 : 638,712.75 = 638,712.75 : x
  2. Step 2: Convert to fraction form
    413,583.75/638,712.75 = 638,712.75/x
  3. Step 3: Cross multiply
    413,583.75x = 638,712.75 × 638,712.75
  4. Step 4: Simplify right side
    413,583.75x = 407,953,977,012.56
  5. Step 5: Solve for x
    x = 407,953,977,012.56/413,583.75
  6. Step 6: Final answer
    x = 986,387.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.