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Finding the Third Proportional to 224,717 and 482,482

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Solution

The third proportional to 224,717 and 482,482 is: 1,035,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,717 : 482,482 = 482,482 : x
  2. Step 2: Convert to fraction form
    224,717/482,482 = 482,482/x
  3. Step 3: Cross multiply
    224,717x = 482,482 × 482,482
  4. Step 4: Simplify right side
    224,717x = 232,788,880,324
  5. Step 5: Solve for x
    x = 232,788,880,324/224,717
  6. Step 6: Final answer
    x = 1,035,920.20

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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.