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Finding the Third Proportional to 270,384.75 and 625,924.13

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Solution

The third proportional to 270,384.75 and 625,924.13 is: 1,448,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,384.75 : 625,924.13 = 625,924.13 : x
  2. Step 2: Convert to fraction form
    270,384.75/625,924.13 = 625,924.13/x
  3. Step 3: Cross multiply
    270,384.75x = 625,924.13 × 625,924.13
  4. Step 4: Simplify right side
    270,384.75x = 391,781,010,257.02
  5. Step 5: Solve for x
    x = 391,781,010,257.02/270,384.75
  6. Step 6: Final answer
    x = 1,448,975.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.