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Finding the Third Proportional to 253,000.13 and 543,520.13

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Solution

The third proportional to 253,000.13 and 543,520.13 is: 1,167,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,000.13 : 543,520.13 = 543,520.13 : x
  2. Step 2: Convert to fraction form
    253,000.13/543,520.13 = 543,520.13/x
  3. Step 3: Cross multiply
    253,000.13x = 543,520.13 × 543,520.13
  4. Step 4: Simplify right side
    253,000.13x = 295,414,126,280.02
  5. Step 5: Solve for x
    x = 295,414,126,280.02/253,000.13
  6. Step 6: Final answer
    x = 1,167,644.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.