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Finding the Third Proportional to 638,624 and 960,603

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Solution

The third proportional to 638,624 and 960,603 is: 1,444,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,624 : 960,603 = 960,603 : x
  2. Step 2: Convert to fraction form
    638,624/960,603 = 960,603/x
  3. Step 3: Cross multiply
    638,624x = 960,603 × 960,603
  4. Step 4: Simplify right side
    638,624x = 922,758,123,609
  5. Step 5: Solve for x
    x = 922,758,123,609/638,624
  6. Step 6: Final answer
    x = 1,444,916.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.