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Finding the Third Proportional to 358,926,744 and 779,110,677

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Solution

The third proportional to 358,926,744 and 779,110,677 is: 1,691,190,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926,744 : 779,110,677 = 779,110,677 : x
  2. Step 2: Convert to fraction form
    358,926,744/779,110,677 = 779,110,677/x
  3. Step 3: Cross multiply
    358,926,744x = 779,110,677 × 779,110,677
  4. Step 4: Simplify right side
    358,926,744x = 607,013,447,015,398,272
  5. Step 5: Solve for x
    x = 607,013,447,015,398,272/358,926,744
  6. Step 6: Final answer
    x = 1,691,190,353.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.