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Finding the Third Proportional to 432,692 and 645,436

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Solution

The third proportional to 432,692 and 645,436 is: 962,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,692 : 645,436 = 645,436 : x
  2. Step 2: Convert to fraction form
    432,692/645,436 = 645,436/x
  3. Step 3: Cross multiply
    432,692x = 645,436 × 645,436
  4. Step 4: Simplify right side
    432,692x = 416,587,630,096
  5. Step 5: Solve for x
    x = 416,587,630,096/432,692
  6. Step 6: Final answer
    x = 962,780.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.