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Finding the Third Proportional to 308,296.13 and 672,472.13

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Solution

The third proportional to 308,296.13 and 672,472.13 is: 1,466,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,296.13 : 672,472.13 = 672,472.13 : x
  2. Step 2: Convert to fraction form
    308,296.13/672,472.13 = 672,472.13/x
  3. Step 3: Cross multiply
    308,296.13x = 672,472.13 × 672,472.13
  4. Step 4: Simplify right side
    308,296.13x = 452,218,758,902.02
  5. Step 5: Solve for x
    x = 452,218,758,902.02/308,296.13
  6. Step 6: Final answer
    x = 1,466,832.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.