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Finding the Third Proportional to 216,283 and 464,535

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Solution

The third proportional to 216,283 and 464,535 is: 997,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,283 : 464,535 = 464,535 : x
  2. Step 2: Convert to fraction form
    216,283/464,535 = 464,535/x
  3. Step 3: Cross multiply
    216,283x = 464,535 × 464,535
  4. Step 4: Simplify right side
    216,283x = 215,792,766,225
  5. Step 5: Solve for x
    x = 215,792,766,225/216,283
  6. Step 6: Final answer
    x = 997,733.37

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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.