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Finding the Third Proportional to 263,989.13 and 540,280.13

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Solution

The third proportional to 263,989.13 and 540,280.13 is: 1,105,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,989.13 : 540,280.13 = 540,280.13 : x
  2. Step 2: Convert to fraction form
    263,989.13/540,280.13 = 540,280.13/x
  3. Step 3: Cross multiply
    263,989.13x = 540,280.13 × 540,280.13
  4. Step 4: Simplify right side
    263,989.13x = 291,902,613,470.02
  5. Step 5: Solve for x
    x = 291,902,613,470.02/263,989.13
  6. Step 6: Final answer
    x = 1,105,737.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.