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Finding the Third Proportional to 224,726 and 482,500

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Solution

The third proportional to 224,726 and 482,500 is: 1,035,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,726 : 482,500 = 482,500 : x
  2. Step 2: Convert to fraction form
    224,726/482,500 = 482,500/x
  3. Step 3: Cross multiply
    224,726x = 482,500 × 482,500
  4. Step 4: Simplify right side
    224,726x = 232,806,250,000
  5. Step 5: Solve for x
    x = 232,806,250,000/224,726
  6. Step 6: Final answer
    x = 1,035,956.01

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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.