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Finding the Third Proportional to 466,619 and 657,552

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Solution

The third proportional to 466,619 and 657,552 is: 926,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,619 : 657,552 = 657,552 : x
  2. Step 2: Convert to fraction form
    466,619/657,552 = 657,552/x
  3. Step 3: Cross multiply
    466,619x = 657,552 × 657,552
  4. Step 4: Simplify right side
    466,619x = 432,374,632,704
  5. Step 5: Solve for x
    x = 432,374,632,704/466,619
  6. Step 6: Final answer
    x = 926,611.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.