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Finding the Third Proportional to 272,373 and 598,494

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Solution

The third proportional to 272,373 and 598,494 is: 1,315,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,373 : 598,494 = 598,494 : x
  2. Step 2: Convert to fraction form
    272,373/598,494 = 598,494/x
  3. Step 3: Cross multiply
    272,373x = 598,494 × 598,494
  4. Step 4: Simplify right side
    272,373x = 358,195,068,036
  5. Step 5: Solve for x
    x = 358,195,068,036/272,373
  6. Step 6: Final answer
    x = 1,315,090.22

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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.