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Finding the Third Proportional to 274,855 and 591,264

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Solution

The third proportional to 274,855 and 591,264 is: 1,271,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,855 : 591,264 = 591,264 : x
  2. Step 2: Convert to fraction form
    274,855/591,264 = 591,264/x
  3. Step 3: Cross multiply
    274,855x = 591,264 × 591,264
  4. Step 4: Simplify right side
    274,855x = 349,593,117,696
  5. Step 5: Solve for x
    x = 349,593,117,696/274,855
  6. Step 6: Final answer
    x = 1,271,918.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.