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Finding the Third Proportional to 272,390 and 598,526

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Solution

The third proportional to 272,390 and 598,526 is: 1,315,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,390 : 598,526 = 598,526 : x
  2. Step 2: Convert to fraction form
    272,390/598,526 = 598,526/x
  3. Step 3: Cross multiply
    272,390x = 598,526 × 598,526
  4. Step 4: Simplify right side
    272,390x = 358,233,372,676
  5. Step 5: Solve for x
    x = 358,233,372,676/272,390
  6. Step 6: Final answer
    x = 1,315,148.77

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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.