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Finding the Third Proportional to 393,926 and 611,122

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Solution

The third proportional to 393,926 and 611,122 is: 948,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,926 : 611,122 = 611,122 : x
  2. Step 2: Convert to fraction form
    393,926/611,122 = 611,122/x
  3. Step 3: Cross multiply
    393,926x = 611,122 × 611,122
  4. Step 4: Simplify right side
    393,926x = 373,470,098,884
  5. Step 5: Solve for x
    x = 373,470,098,884/393,926
  6. Step 6: Final answer
    x = 948,071.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.