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Finding the Third Proportional to 257,065,494 and 391,621,617

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Solution

The third proportional to 257,065,494 and 391,621,617 is: 596,608,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,065,494 : 391,621,617 = 391,621,617 : x
  2. Step 2: Convert to fraction form
    257,065,494/391,621,617 = 391,621,617/x
  3. Step 3: Cross multiply
    257,065,494x = 391,621,617 × 391,621,617
  4. Step 4: Simplify right side
    257,065,494x = 153,367,490,901,694,688
  5. Step 5: Solve for x
    x = 153,367,490,901,694,688/257,065,494
  6. Step 6: Final answer
    x = 596,608,624.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.