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Finding the Third Proportional to 391,832,868 and 566,411,958

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Solution

The third proportional to 391,832,868 and 566,411,958 is: 818,773,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,832,868 : 566,411,958 = 566,411,958 : x
  2. Step 2: Convert to fraction form
    391,832,868/566,411,958 = 566,411,958/x
  3. Step 3: Cross multiply
    391,832,868x = 566,411,958 × 566,411,958
  4. Step 4: Simplify right side
    391,832,868x = 320,822,506,165,393,792
  5. Step 5: Solve for x
    x = 320,822,506,165,393,792/391,832,868
  6. Step 6: Final answer
    x = 818,773,850.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.