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Finding the Third Proportional to 224,734 and 482,822

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Solution

The third proportional to 224,734 and 482,822 is: 1,037,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,734 : 482,822 = 482,822 : x
  2. Step 2: Convert to fraction form
    224,734/482,822 = 482,822/x
  3. Step 3: Cross multiply
    224,734x = 482,822 × 482,822
  4. Step 4: Simplify right side
    224,734x = 233,117,083,684
  5. Step 5: Solve for x
    x = 233,117,083,684/224,734
  6. Step 6: Final answer
    x = 1,037,302.25

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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.