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Finding the Third Proportional to 260,221.50 and 564,640.50

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Solution

The third proportional to 260,221.50 and 564,640.50 is: 1,225,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,221.50 : 564,640.50 = 564,640.50 : x
  2. Step 2: Convert to fraction form
    260,221.50/564,640.50 = 564,640.50/x
  3. Step 3: Cross multiply
    260,221.50x = 564,640.50 × 564,640.50
  4. Step 4: Simplify right side
    260,221.50x = 318,818,894,240.25
  5. Step 5: Solve for x
    x = 318,818,894,240.25/260,221.50
  6. Step 6: Final answer
    x = 1,225,182.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.