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Finding the Third Proportional to 274,542 and 601,572

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Solution

The third proportional to 274,542 and 601,572 is: 1,318,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,542 : 601,572 = 601,572 : x
  2. Step 2: Convert to fraction form
    274,542/601,572 = 601,572/x
  3. Step 3: Cross multiply
    274,542x = 601,572 × 601,572
  4. Step 4: Simplify right side
    274,542x = 361,888,871,184
  5. Step 5: Solve for x
    x = 361,888,871,184/274,542
  6. Step 6: Final answer
    x = 1,318,154.86

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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.