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Finding the Third Proportional to 216,642 and 472,650

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Solution

The third proportional to 216,642 and 472,650 is: 1,031,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,642 : 472,650 = 472,650 : x
  2. Step 2: Convert to fraction form
    216,642/472,650 = 472,650/x
  3. Step 3: Cross multiply
    216,642x = 472,650 × 472,650
  4. Step 4: Simplify right side
    216,642x = 223,398,022,500
  5. Step 5: Solve for x
    x = 223,398,022,500/216,642
  6. Step 6: Final answer
    x = 1,031,185.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.