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Finding the Third Proportional to 252,546.61 and 561,142.69

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Solution

The third proportional to 252,546.61 and 561,142.69 is: 1,246,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,546.61 : 561,142.69 = 561,142.69 : x
  2. Step 2: Convert to fraction form
    252,546.61/561,142.69 = 561,142.69/x
  3. Step 3: Cross multiply
    252,546.61x = 561,142.69 × 561,142.69
  4. Step 4: Simplify right side
    252,546.61x = 314,881,115,734.72
  5. Step 5: Solve for x
    x = 314,881,115,734.72/252,546.61
  6. Step 6: Final answer
    x = 1,246,823.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.