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Finding the Third Proportional to 217,984 and 465,536

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Solution

The third proportional to 217,984 and 465,536 is: 994,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,984 : 465,536 = 465,536 : x
  2. Step 2: Convert to fraction form
    217,984/465,536 = 465,536/x
  3. Step 3: Cross multiply
    217,984x = 465,536 × 465,536
  4. Step 4: Simplify right side
    217,984x = 216,723,767,296
  5. Step 5: Solve for x
    x = 216,723,767,296/217,984
  6. Step 6: Final answer
    x = 994,218.69

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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.