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Finding the Third Proportional to 329,137,473 and 482,794,911

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Solution

The third proportional to 329,137,473 and 482,794,911 is: 708,187,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,137,473 : 482,794,911 = 482,794,911 : x
  2. Step 2: Convert to fraction form
    329,137,473/482,794,911 = 482,794,911/x
  3. Step 3: Cross multiply
    329,137,473x = 482,794,911 × 482,794,911
  4. Step 4: Simplify right side
    329,137,473x = 233,090,926,087,497,920
  5. Step 5: Solve for x
    x = 233,090,926,087,497,920/329,137,473
  6. Step 6: Final answer
    x = 708,187,141.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.