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Finding the Third Proportional to 332,943.75 and 521,727.75

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Solution

The third proportional to 332,943.75 and 521,727.75 is: 817,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,943.75 : 521,727.75 = 521,727.75 : x
  2. Step 2: Convert to fraction form
    332,943.75/521,727.75 = 521,727.75/x
  3. Step 3: Cross multiply
    332,943.75x = 521,727.75 × 521,727.75
  4. Step 4: Simplify right side
    332,943.75x = 272,199,845,120.06
  5. Step 5: Solve for x
    x = 272,199,845,120.06/332,943.75
  6. Step 6: Final answer
    x = 817,555.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.