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Finding the Third Proportional to 412,877.25 and 638,101.13

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Solution

The third proportional to 412,877.25 and 638,101.13 is: 986,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,877.25 : 638,101.13 = 638,101.13 : x
  2. Step 2: Convert to fraction form
    412,877.25/638,101.13 = 638,101.13/x
  3. Step 3: Cross multiply
    412,877.25x = 638,101.13 × 638,101.13
  4. Step 4: Simplify right side
    412,877.25x = 407,173,045,726.27
  5. Step 5: Solve for x
    x = 407,173,045,726.27/412,877.25
  6. Step 6: Final answer
    x = 986,184.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.