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Finding the Third Proportional to 272,331 and 596,340

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Solution

The third proportional to 272,331 and 596,340 is: 1,305,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,331 : 596,340 = 596,340 : x
  2. Step 2: Convert to fraction form
    272,331/596,340 = 596,340/x
  3. Step 3: Cross multiply
    272,331x = 596,340 × 596,340
  4. Step 4: Simplify right side
    272,331x = 355,621,395,600
  5. Step 5: Solve for x
    x = 355,621,395,600/272,331
  6. Step 6: Final answer
    x = 1,305,842.51

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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.