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Finding the Third Proportional to 412,889 and 638,118

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Solution

The third proportional to 412,889 and 638,118 is: 986,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,889 : 638,118 = 638,118 : x
  2. Step 2: Convert to fraction form
    412,889/638,118 = 638,118/x
  3. Step 3: Cross multiply
    412,889x = 638,118 × 638,118
  4. Step 4: Simplify right side
    412,889x = 407,194,581,924
  5. Step 5: Solve for x
    x = 407,194,581,924/412,889
  6. Step 6: Final answer
    x = 986,208.36

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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.