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Finding the Third Proportional to 224,831.25 and 481,713

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Solution

The third proportional to 224,831.25 and 481,713 is: 1,032,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,831.25 : 481,713 = 481,713 : x
  2. Step 2: Convert to fraction form
    224,831.25/481,713 = 481,713/x
  3. Step 3: Cross multiply
    224,831.25x = 481,713 × 481,713
  4. Step 4: Simplify right side
    224,831.25x = 232,047,414,369
  5. Step 5: Solve for x
    x = 232,047,414,369/224,831.25
  6. Step 6: Final answer
    x = 1,032,095.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.