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Finding the Third Proportional to 216,320 and 464,832

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Solution

The third proportional to 216,320 and 464,832 is: 998,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,320 : 464,832 = 464,832 : x
  2. Step 2: Convert to fraction form
    216,320/464,832 = 464,832/x
  3. Step 3: Cross multiply
    216,320x = 464,832 × 464,832
  4. Step 4: Simplify right side
    216,320x = 216,068,788,224
  5. Step 5: Solve for x
    x = 216,068,788,224/216,320
  6. Step 6: Final answer
    x = 998,838.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.