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Finding the Third Proportional to 250,595,674 and 538,208,508

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Solution

The third proportional to 250,595,674 and 538,208,508 is: 1,155,919,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,595,674 : 538,208,508 = 538,208,508 : x
  2. Step 2: Convert to fraction form
    250,595,674/538,208,508 = 538,208,508/x
  3. Step 3: Cross multiply
    250,595,674x = 538,208,508 × 538,208,508
  4. Step 4: Simplify right side
    250,595,674x = 289,668,398,083,586,048
  5. Step 5: Solve for x
    x = 289,668,398,083,586,048/250,595,674
  6. Step 6: Final answer
    x = 1,155,919,387.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.