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Finding the Third Proportional to 358,926,498 and 779,110,188

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Solution

The third proportional to 358,926,498 and 779,110,188 is: 1,691,189,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926,498 : 779,110,188 = 779,110,188 : x
  2. Step 2: Convert to fraction form
    358,926,498/779,110,188 = 779,110,188/x
  3. Step 3: Cross multiply
    358,926,498x = 779,110,188 × 779,110,188
  4. Step 4: Simplify right side
    358,926,498x = 607,012,685,045,395,328
  5. Step 5: Solve for x
    x = 607,012,685,045,395,328/358,926,498
  6. Step 6: Final answer
    x = 1,691,189,389.55

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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.