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Finding the Third Proportional to 441,432 and 663,498

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Solution

The third proportional to 441,432 and 663,498 is: 997,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,432 : 663,498 = 663,498 : x
  2. Step 2: Convert to fraction form
    441,432/663,498 = 663,498/x
  3. Step 3: Cross multiply
    441,432x = 663,498 × 663,498
  4. Step 4: Simplify right side
    441,432x = 440,229,596,004
  5. Step 5: Solve for x
    x = 440,229,596,004/441,432
  6. Step 6: Final answer
    x = 997,276.13

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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.