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Finding the Third Proportional to 252,057.38 and 553,808.25

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Solution

The third proportional to 252,057.38 and 553,808.25 is: 1,216,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,057.38 : 553,808.25 = 553,808.25 : x
  2. Step 2: Convert to fraction form
    252,057.38/553,808.25 = 553,808.25/x
  3. Step 3: Cross multiply
    252,057.38x = 553,808.25 × 553,808.25
  4. Step 4: Simplify right side
    252,057.38x = 306,703,577,768.06
  5. Step 5: Solve for x
    x = 306,703,577,768.06/252,057.38
  6. Step 6: Final answer
    x = 1,216,800.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.