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Finding the Third Proportional to 331,357,374 and 494,162,566

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Solution

The third proportional to 331,357,374 and 494,162,566 is: 736,958,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,357,374 : 494,162,566 = 494,162,566 : x
  2. Step 2: Convert to fraction form
    331,357,374/494,162,566 = 494,162,566/x
  3. Step 3: Cross multiply
    331,357,374x = 494,162,566 × 494,162,566
  4. Step 4: Simplify right side
    331,357,374x = 244,196,641,635,704,352
  5. Step 5: Solve for x
    x = 244,196,641,635,704,352/331,357,374
  6. Step 6: Final answer
    x = 736,958,525.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.