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Finding the Third Proportional to 358,926,720 and 779,110,592

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Solution

The third proportional to 358,926,720 and 779,110,592 is: 1,691,190,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926,720 : 779,110,592 = 779,110,592 : x
  2. Step 2: Convert to fraction form
    358,926,720/779,110,592 = 779,110,592/x
  3. Step 3: Cross multiply
    358,926,720x = 779,110,592 × 779,110,592
  4. Step 4: Simplify right side
    358,926,720x = 607,013,314,566,590,464
  5. Step 5: Solve for x
    x = 607,013,314,566,590,464/358,926,720
  6. Step 6: Final answer
    x = 1,691,190,097.43

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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.