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Finding the Third Proportional to 299,266.88 and 656,686.13

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Solution

The third proportional to 299,266.88 and 656,686.13 is: 1,440,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,266.88 : 656,686.13 = 656,686.13 : x
  2. Step 2: Convert to fraction form
    299,266.88/656,686.13 = 656,686.13/x
  3. Step 3: Cross multiply
    299,266.88x = 656,686.13 × 656,686.13
  4. Step 4: Simplify right side
    299,266.88x = 431,236,666,767.52
  5. Step 5: Solve for x
    x = 431,236,666,767.52/299,266.88
  6. Step 6: Final answer
    x = 1,440,976.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.