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Finding the Third Proportional to 268,528.50 and 591,043.50

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Solution

The third proportional to 268,528.50 and 591,043.50 is: 1,300,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,528.50 : 591,043.50 = 591,043.50 : x
  2. Step 2: Convert to fraction form
    268,528.50/591,043.50 = 591,043.50/x
  3. Step 3: Cross multiply
    268,528.50x = 591,043.50 × 591,043.50
  4. Step 4: Simplify right side
    268,528.50x = 349,332,418,892.25
  5. Step 5: Solve for x
    x = 349,332,418,892.25/268,528.50
  6. Step 6: Final answer
    x = 1,300,913.75

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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.