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Finding the Third Proportional to 632,132 and 960,486

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Solution

The third proportional to 632,132 and 960,486 is: 1,459,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,132 : 960,486 = 960,486 : x
  2. Step 2: Convert to fraction form
    632,132/960,486 = 960,486/x
  3. Step 3: Cross multiply
    632,132x = 960,486 × 960,486
  4. Step 4: Simplify right side
    632,132x = 922,533,356,196
  5. Step 5: Solve for x
    x = 922,533,356,196/632,132
  6. Step 6: Final answer
    x = 1,459,399.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.