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Finding the Third Proportional to 273,355 and 591,637

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Solution

The third proportional to 273,355 and 591,637 is: 1,280,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,355 : 591,637 = 591,637 : x
  2. Step 2: Convert to fraction form
    273,355/591,637 = 591,637/x
  3. Step 3: Cross multiply
    273,355x = 591,637 × 591,637
  4. Step 4: Simplify right side
    273,355x = 350,034,339,769
  5. Step 5: Solve for x
    x = 350,034,339,769/273,355
  6. Step 6: Final answer
    x = 1,280,511.93

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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.