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Finding the Third Proportional to 447,046.88 and 958,012.88

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Solution

The third proportional to 447,046.88 and 958,012.88 is: 2,053,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,046.88 : 958,012.88 = 958,012.88 : x
  2. Step 2: Convert to fraction form
    447,046.88/958,012.88 = 958,012.88/x
  3. Step 3: Cross multiply
    447,046.88x = 958,012.88 × 958,012.88
  4. Step 4: Simplify right side
    447,046.88x = 917,788,668,665.77
  5. Step 5: Solve for x
    x = 917,788,668,665.77/447,046.88
  6. Step 6: Final answer
    x = 2,053,003.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.