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Finding the Third Proportional to 469,422 and 706,374

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Solution

The third proportional to 469,422 and 706,374 is: 1,062,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,422 : 706,374 = 706,374 : x
  2. Step 2: Convert to fraction form
    469,422/706,374 = 706,374/x
  3. Step 3: Cross multiply
    469,422x = 706,374 × 706,374
  4. Step 4: Simplify right side
    469,422x = 498,964,227,876
  5. Step 5: Solve for x
    x = 498,964,227,876/469,422
  6. Step 6: Final answer
    x = 1,062,933.20

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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.