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Finding the Third Proportional to 282,058.88 and 587,445.75

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Solution

The third proportional to 282,058.88 and 587,445.75 is: 1,223,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,058.88 : 587,445.75 = 587,445.75 : x
  2. Step 2: Convert to fraction form
    282,058.88/587,445.75 = 587,445.75/x
  3. Step 3: Cross multiply
    282,058.88x = 587,445.75 × 587,445.75
  4. Step 4: Simplify right side
    282,058.88x = 345,092,509,193.06
  5. Step 5: Solve for x
    x = 345,092,509,193.06/282,058.88
  6. Step 6: Final answer
    x = 1,223,476.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.