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Finding the Third Proportional to 213,272 and 466,720

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Solution

The third proportional to 213,272 and 466,720 is: 1,021,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,272 : 466,720 = 466,720 : x
  2. Step 2: Convert to fraction form
    213,272/466,720 = 466,720/x
  3. Step 3: Cross multiply
    213,272x = 466,720 × 466,720
  4. Step 4: Simplify right side
    213,272x = 217,827,558,400
  5. Step 5: Solve for x
    x = 217,827,558,400/213,272
  6. Step 6: Final answer
    x = 1,021,360.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.