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Finding the Third Proportional to 332,088.09 and 687,805.97

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Solution

The third proportional to 332,088.09 and 687,805.97 is: 1,424,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,088.09 : 687,805.97 = 687,805.97 : x
  2. Step 2: Convert to fraction form
    332,088.09/687,805.97 = 687,805.97/x
  3. Step 3: Cross multiply
    332,088.09x = 687,805.97 × 687,805.97
  4. Step 4: Simplify right side
    332,088.09x = 473,077,050,648.13
  5. Step 5: Solve for x
    x = 473,077,050,648.13/332,088.09
  6. Step 6: Final answer
    x = 1,424,552.88

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.