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Finding the Third Proportional to 271,428 and 391,014

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Solution

The third proportional to 271,428 and 391,014 is: 563,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,428 : 391,014 = 391,014 : x
  2. Step 2: Convert to fraction form
    271,428/391,014 = 391,014/x
  3. Step 3: Cross multiply
    271,428x = 391,014 × 391,014
  4. Step 4: Simplify right side
    271,428x = 152,891,948,196
  5. Step 5: Solve for x
    x = 152,891,948,196/271,428
  6. Step 6: Final answer
    x = 563,287.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.