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Finding the Third Proportional to 332,644 and 591,416

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Solution

The third proportional to 332,644 and 591,416 is: 1,051,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,644 : 591,416 = 591,416 : x
  2. Step 2: Convert to fraction form
    332,644/591,416 = 591,416/x
  3. Step 3: Cross multiply
    332,644x = 591,416 × 591,416
  4. Step 4: Simplify right side
    332,644x = 349,772,885,056
  5. Step 5: Solve for x
    x = 349,772,885,056/332,644
  6. Step 6: Final answer
    x = 1,051,493.14

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.