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Finding the Third Proportional to 271,285.88 and 579,938.06

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Solution

The third proportional to 271,285.88 and 579,938.06 is: 1,239,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,285.88 : 579,938.06 = 579,938.06 : x
  2. Step 2: Convert to fraction form
    271,285.88/579,938.06 = 579,938.06/x
  3. Step 3: Cross multiply
    271,285.88x = 579,938.06 × 579,938.06
  4. Step 4: Simplify right side
    271,285.88x = 336,328,156,336.25
  5. Step 5: Solve for x
    x = 336,328,156,336.25/271,285.88
  6. Step 6: Final answer
    x = 1,239,755.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.