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Finding the Third Proportional to 322,462,548 and 658,459,870

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Solution

The third proportional to 322,462,548 and 658,459,870 is: 1,344,557,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462,548 : 658,459,870 = 658,459,870 : x
  2. Step 2: Convert to fraction form
    322,462,548/658,459,870 = 658,459,870/x
  3. Step 3: Cross multiply
    322,462,548x = 658,459,870 × 658,459,870
  4. Step 4: Simplify right side
    322,462,548x = 433,569,400,400,416,896
  5. Step 5: Solve for x
    x = 433,569,400,400,416,896/322,462,548
  6. Step 6: Final answer
    x = 1,344,557,385.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.