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Finding the Third Proportional to 273,352 and 591,632

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Solution

The third proportional to 273,352 and 591,632 is: 1,280,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,352 : 591,632 = 591,632 : x
  2. Step 2: Convert to fraction form
    273,352/591,632 = 591,632/x
  3. Step 3: Cross multiply
    273,352x = 591,632 × 591,632
  4. Step 4: Simplify right side
    273,352x = 350,028,423,424
  5. Step 5: Solve for x
    x = 350,028,423,424/273,352
  6. Step 6: Final answer
    x = 1,280,504.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.