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Finding the Third Proportional to 252,592.50 and 552,750

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Solution

The third proportional to 252,592.50 and 552,750 is: 1,209,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,592.50 : 552,750 = 552,750 : x
  2. Step 2: Convert to fraction form
    252,592.50/552,750 = 552,750/x
  3. Step 3: Cross multiply
    252,592.50x = 552,750 × 552,750
  4. Step 4: Simplify right side
    252,592.50x = 305,532,562,500
  5. Step 5: Solve for x
    x = 305,532,562,500/252,592.50
  6. Step 6: Final answer
    x = 1,209,586.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.