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Finding the Third Proportional to 398,117,061 and 597,175,650

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Solution

The third proportional to 398,117,061 and 597,175,650 is: 895,763,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,117,061 : 597,175,650 = 597,175,650 : x
  2. Step 2: Convert to fraction form
    398,117,061/597,175,650 = 597,175,650/x
  3. Step 3: Cross multiply
    398,117,061x = 597,175,650 × 597,175,650
  4. Step 4: Simplify right side
    398,117,061x = 356,618,756,952,922,496
  5. Step 5: Solve for x
    x = 356,618,756,952,922,496/398,117,061
  6. Step 6: Final answer
    x = 895,763,562.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.