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Finding the Third Proportional to 216,850 and 469,900

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Solution

The third proportional to 216,850 and 469,900 is: 1,018,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,850 : 469,900 = 469,900 : x
  2. Step 2: Convert to fraction form
    216,850/469,900 = 469,900/x
  3. Step 3: Cross multiply
    216,850x = 469,900 × 469,900
  4. Step 4: Simplify right side
    216,850x = 220,806,010,000
  5. Step 5: Solve for x
    x = 220,806,010,000/216,850
  6. Step 6: Final answer
    x = 1,018,243.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.