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Finding the Third Proportional to 279,822.09 and 657,785.81

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Solution

The third proportional to 279,822.09 and 657,785.81 is: 1,546,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,822.09 : 657,785.81 = 657,785.81 : x
  2. Step 2: Convert to fraction form
    279,822.09/657,785.81 = 657,785.81/x
  3. Step 3: Cross multiply
    279,822.09x = 657,785.81 × 657,785.81
  4. Step 4: Simplify right side
    279,822.09x = 432,682,175,126.29
  5. Step 5: Solve for x
    x = 432,682,175,126.29/279,822.09
  6. Step 6: Final answer
    x = 1,546,275.95

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.