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Finding the Third Proportional to 341,161,524 and 498,947,364

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Solution

The third proportional to 341,161,524 and 498,947,364 is: 729,708,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,161,524 : 498,947,364 = 498,947,364 : x
  2. Step 2: Convert to fraction form
    341,161,524/498,947,364 = 498,947,364/x
  3. Step 3: Cross multiply
    341,161,524x = 498,947,364 × 498,947,364
  4. Step 4: Simplify right side
    341,161,524x = 248,948,472,042,548,480
  5. Step 5: Solve for x
    x = 248,948,472,042,548,480/341,161,524
  6. Step 6: Final answer
    x = 729,708,523.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.