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Finding the Third Proportional to 443,767.50 and 970,479

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Solution

The third proportional to 443,767.50 and 970,479 is: 2,122,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,767.50 : 970,479 = 970,479 : x
  2. Step 2: Convert to fraction form
    443,767.50/970,479 = 970,479/x
  3. Step 3: Cross multiply
    443,767.50x = 970,479 × 970,479
  4. Step 4: Simplify right side
    443,767.50x = 941,829,489,441
  5. Step 5: Solve for x
    x = 941,829,489,441/443,767.50
  6. Step 6: Final answer
    x = 2,122,348.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.