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Finding the Third Proportional to 216,284 and 462,460

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Solution

The third proportional to 216,284 and 462,460 is: 988,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,284 : 462,460 = 462,460 : x
  2. Step 2: Convert to fraction form
    216,284/462,460 = 462,460/x
  3. Step 3: Cross multiply
    216,284x = 462,460 × 462,460
  4. Step 4: Simplify right side
    216,284x = 213,869,251,600
  5. Step 5: Solve for x
    x = 213,869,251,600/216,284
  6. Step 6: Final answer
    x = 988,835.29

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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.