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Finding the Third Proportional to 341,149,560 and 498,930,363

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Solution

The third proportional to 341,149,560 and 498,930,363 is: 729,684,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,149,560 : 498,930,363 = 498,930,363 : x
  2. Step 2: Convert to fraction form
    341,149,560/498,930,363 = 498,930,363/x
  3. Step 3: Cross multiply
    341,149,560x = 498,930,363 × 498,930,363
  4. Step 4: Simplify right side
    341,149,560x = 248,931,507,123,311,776
  5. Step 5: Solve for x
    x = 248,931,507,123,311,776/341,149,560
  6. Step 6: Final answer
    x = 729,684,385.71

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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.