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Finding the Third Proportional to 358,926,522 and 779,110,240

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Solution

The third proportional to 358,926,522 and 779,110,240 is: 1,691,189,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926,522 : 779,110,240 = 779,110,240 : x
  2. Step 2: Convert to fraction form
    358,926,522/779,110,240 = 779,110,240/x
  3. Step 3: Cross multiply
    358,926,522x = 779,110,240 × 779,110,240
  4. Step 4: Simplify right side
    358,926,522x = 607,012,766,072,857,600
  5. Step 5: Solve for x
    x = 607,012,766,072,857,600/358,926,522
  6. Step 6: Final answer
    x = 1,691,189,502.21

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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.