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Finding the Third Proportional to 272,340 and 598,425

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Solution

The third proportional to 272,340 and 598,425 is: 1,314,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,340 : 598,425 = 598,425 : x
  2. Step 2: Convert to fraction form
    272,340/598,425 = 598,425/x
  3. Step 3: Cross multiply
    272,340x = 598,425 × 598,425
  4. Step 4: Simplify right side
    272,340x = 358,112,480,625
  5. Step 5: Solve for x
    x = 358,112,480,625/272,340
  6. Step 6: Final answer
    x = 1,314,946.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.