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Finding the Third Proportional to 272,372 and 598,492

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Solution

The third proportional to 272,372 and 598,492 is: 1,315,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,372 : 598,492 = 598,492 : x
  2. Step 2: Convert to fraction form
    272,372/598,492 = 598,492/x
  3. Step 3: Cross multiply
    272,372x = 598,492 × 598,492
  4. Step 4: Simplify right side
    272,372x = 358,192,674,064
  5. Step 5: Solve for x
    x = 358,192,674,064/272,372
  6. Step 6: Final answer
    x = 1,315,086.26

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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.