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Finding the Third Proportional to 432,340 and 646,782

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Solution

The third proportional to 432,340 and 646,782 is: 967,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,340 : 646,782 = 646,782 : x
  2. Step 2: Convert to fraction form
    432,340/646,782 = 646,782/x
  3. Step 3: Cross multiply
    432,340x = 646,782 × 646,782
  4. Step 4: Simplify right side
    432,340x = 418,326,955,524
  5. Step 5: Solve for x
    x = 418,326,955,524/432,340
  6. Step 6: Final answer
    x = 967,587.91

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