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Finding the Third Proportional to 224,731 and 482,510

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Solution

The third proportional to 224,731 and 482,510 is: 1,035,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,731 : 482,510 = 482,510 : x
  2. Step 2: Convert to fraction form
    224,731/482,510 = 482,510/x
  3. Step 3: Cross multiply
    224,731x = 482,510 × 482,510
  4. Step 4: Simplify right side
    224,731x = 232,815,900,100
  5. Step 5: Solve for x
    x = 232,815,900,100/224,731
  6. Step 6: Final answer
    x = 1,035,975.90

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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.