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Finding the Third Proportional to 271,560 and 591,312

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Solution

The third proportional to 271,560 and 591,312 is: 1,287,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,560 : 591,312 = 591,312 : x
  2. Step 2: Convert to fraction form
    271,560/591,312 = 591,312/x
  3. Step 3: Cross multiply
    271,560x = 591,312 × 591,312
  4. Step 4: Simplify right side
    271,560x = 349,649,881,344
  5. Step 5: Solve for x
    x = 349,649,881,344/271,560
  6. Step 6: Final answer
    x = 1,287,560.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.