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Finding the Third Proportional to 235,753.13 and 482,400.81

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Solution

The third proportional to 235,753.13 and 482,400.81 is: 987,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,753.13 : 482,400.81 = 482,400.81 : x
  2. Step 2: Convert to fraction form
    235,753.13/482,400.81 = 482,400.81/x
  3. Step 3: Cross multiply
    235,753.13x = 482,400.81 × 482,400.81
  4. Step 4: Simplify right side
    235,753.13x = 232,710,543,900.66
  5. Step 5: Solve for x
    x = 232,710,543,900.66/235,753.13
  6. Step 6: Final answer
    x = 987,094.21

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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.