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Finding the Third Proportional to 480,545.25 and 1,057,016.25

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Solution

The third proportional to 480,545.25 and 1,057,016.25 is: 2,325,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,545.25 : 1,057,016.25 = 1,057,016.25 : x
  2. Step 2: Convert to fraction form
    480,545.25/1,057,016.25 = 1,057,016.25/x
  3. Step 3: Cross multiply
    480,545.25x = 1,057,016.25 × 1,057,016.25
  4. Step 4: Simplify right side
    480,545.25x = 1,117,283,352,764.06
  5. Step 5: Solve for x
    x = 1,117,283,352,764.06/480,545.25
  6. Step 6: Final answer
    x = 2,325,032.56

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Why These Related Problems?

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