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Finding the Third Proportional to 271,341 and 578,706

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Solution

The third proportional to 271,341 and 578,706 is: 1,234,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,341 : 578,706 = 578,706 : x
  2. Step 2: Convert to fraction form
    271,341/578,706 = 578,706/x
  3. Step 3: Cross multiply
    271,341x = 578,706 × 578,706
  4. Step 4: Simplify right side
    271,341x = 334,900,634,436
  5. Step 5: Solve for x
    x = 334,900,634,436/271,341
  6. Step 6: Final answer
    x = 1,234,242.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.