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Finding the Third Proportional to 252,649.13 and 545,776.31

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Solution

The third proportional to 252,649.13 and 545,776.31 is: 1,178,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,649.13 : 545,776.31 = 545,776.31 : x
  2. Step 2: Convert to fraction form
    252,649.13/545,776.31 = 545,776.31/x
  3. Step 3: Cross multiply
    252,649.13x = 545,776.31 × 545,776.31
  4. Step 4: Simplify right side
    252,649.13x = 297,871,783,286.10
  5. Step 5: Solve for x
    x = 297,871,783,286.10/252,649.13
  6. Step 6: Final answer
    x = 1,178,993.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.