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Finding the Third Proportional to 210,690 and 462,596

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Solution

The third proportional to 210,690 and 462,596 is: 1,015,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,690 : 462,596 = 462,596 : x
  2. Step 2: Convert to fraction form
    210,690/462,596 = 462,596/x
  3. Step 3: Cross multiply
    210,690x = 462,596 × 462,596
  4. Step 4: Simplify right side
    210,690x = 213,995,059,216
  5. Step 5: Solve for x
    x = 213,995,059,216/210,690
  6. Step 6: Final answer
    x = 1,015,686.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.