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Finding the Third Proportional to 224,680 and 488,726

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Solution

The third proportional to 224,680 and 488,726 is: 1,063,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,680 : 488,726 = 488,726 : x
  2. Step 2: Convert to fraction form
    224,680/488,726 = 488,726/x
  3. Step 3: Cross multiply
    224,680x = 488,726 × 488,726
  4. Step 4: Simplify right side
    224,680x = 238,853,103,076
  5. Step 5: Solve for x
    x = 238,853,103,076/224,680
  6. Step 6: Final answer
    x = 1,063,081.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.