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Finding the Third Proportional to 315,227.25 and 471,727.13

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Solution

The third proportional to 315,227.25 and 471,727.13 is: 705,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,227.25 : 471,727.13 = 471,727.13 : x
  2. Step 2: Convert to fraction form
    315,227.25/471,727.13 = 471,727.13/x
  3. Step 3: Cross multiply
    315,227.25x = 471,727.13 × 471,727.13
  4. Step 4: Simplify right side
    315,227.25x = 222,526,480,460.77
  5. Step 5: Solve for x
    x = 222,526,480,460.77/315,227.25
  6. Step 6: Final answer
    x = 705,924.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.