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Finding the Third Proportional to 262,687.50 and 384,661.13

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Solution

The third proportional to 262,687.50 and 384,661.13 is: 563,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,687.50 : 384,661.13 = 384,661.13 : x
  2. Step 2: Convert to fraction form
    262,687.50/384,661.13 = 384,661.13/x
  3. Step 3: Cross multiply
    262,687.50x = 384,661.13 × 384,661.13
  4. Step 4: Simplify right side
    262,687.50x = 147,964,181,086.27
  5. Step 5: Solve for x
    x = 147,964,181,086.27/262,687.50
  6. Step 6: Final answer
    x = 563,270.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.