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Finding the Third Proportional to 214,548 and 462,820

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Solution

The third proportional to 214,548 and 462,820 is: 998,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,548 : 462,820 = 462,820 : x
  2. Step 2: Convert to fraction form
    214,548/462,820 = 462,820/x
  3. Step 3: Cross multiply
    214,548x = 462,820 × 462,820
  4. Step 4: Simplify right side
    214,548x = 214,202,352,400
  5. Step 5: Solve for x
    x = 214,202,352,400/214,548
  6. Step 6: Final answer
    x = 998,388.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.