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Finding the Third Proportional to 252,298.13 and 420,476.06

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Solution

The third proportional to 252,298.13 and 420,476.06 is: 700,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,298.13 : 420,476.06 = 420,476.06 : x
  2. Step 2: Convert to fraction form
    252,298.13/420,476.06 = 420,476.06/x
  3. Step 3: Cross multiply
    252,298.13x = 420,476.06 × 420,476.06
  4. Step 4: Simplify right side
    252,298.13x = 176,800,119,135.50
  5. Step 5: Solve for x
    x = 176,800,119,135.50/252,298.13
  6. Step 6: Final answer
    x = 700,758.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.