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Finding the Third Proportional to 447,806 and 671,432

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Solution

The third proportional to 447,806 and 671,432 is: 1,006,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,806 : 671,432 = 671,432 : x
  2. Step 2: Convert to fraction form
    447,806/671,432 = 671,432/x
  3. Step 3: Cross multiply
    447,806x = 671,432 × 671,432
  4. Step 4: Simplify right side
    447,806x = 450,820,930,624
  5. Step 5: Solve for x
    x = 450,820,930,624/447,806
  6. Step 6: Final answer
    x = 1,006,732.67

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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.