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Finding the Third Proportional to 217,748 and 466,600

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Solution

The third proportional to 217,748 and 466,600 is: 999,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,748 : 466,600 = 466,600 : x
  2. Step 2: Convert to fraction form
    217,748/466,600 = 466,600/x
  3. Step 3: Cross multiply
    217,748x = 466,600 × 466,600
  4. Step 4: Simplify right side
    217,748x = 217,715,560,000
  5. Step 5: Solve for x
    x = 217,715,560,000/217,748
  6. Step 6: Final answer
    x = 999,851.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.