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Finding the Third Proportional to 281,832.50 and 591,359.50

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Solution

The third proportional to 281,832.50 and 591,359.50 is: 1,240,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,832.50 : 591,359.50 = 591,359.50 : x
  2. Step 2: Convert to fraction form
    281,832.50/591,359.50 = 591,359.50/x
  3. Step 3: Cross multiply
    281,832.50x = 591,359.50 × 591,359.50
  4. Step 4: Simplify right side
    281,832.50x = 349,706,058,240.25
  5. Step 5: Solve for x
    x = 349,706,058,240.25/281,832.50
  6. Step 6: Final answer
    x = 1,240,829.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.