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Finding the Third Proportional to 273,913 and 591,565

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Solution

The third proportional to 273,913 and 591,565 is: 1,277,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,913 : 591,565 = 591,565 : x
  2. Step 2: Convert to fraction form
    273,913/591,565 = 591,565/x
  3. Step 3: Cross multiply
    273,913x = 591,565 × 591,565
  4. Step 4: Simplify right side
    273,913x = 349,949,149,225
  5. Step 5: Solve for x
    x = 349,949,149,225/273,913
  6. Step 6: Final answer
    x = 1,277,592.33

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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.