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Finding the Third Proportional to 217,084 and 462,841

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Solution

The third proportional to 217,084 and 462,841 is: 986,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,084 : 462,841 = 462,841 : x
  2. Step 2: Convert to fraction form
    217,084/462,841 = 462,841/x
  3. Step 3: Cross multiply
    217,084x = 462,841 × 462,841
  4. Step 4: Simplify right side
    217,084x = 214,221,791,281
  5. Step 5: Solve for x
    x = 214,221,791,281/217,084
  6. Step 6: Final answer
    x = 986,815.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.