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Finding the Third Proportional to 271,362 and 596,853

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Solution

The third proportional to 271,362 and 596,853 is: 1,312,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,362 : 596,853 = 596,853 : x
  2. Step 2: Convert to fraction form
    271,362/596,853 = 596,853/x
  3. Step 3: Cross multiply
    271,362x = 596,853 × 596,853
  4. Step 4: Simplify right side
    271,362x = 356,233,503,609
  5. Step 5: Solve for x
    x = 356,233,503,609/271,362
  6. Step 6: Final answer
    x = 1,312,761.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.