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Finding the Third Proportional to 235,694 and 512,371

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Solution

The third proportional to 235,694 and 512,371 is: 1,113,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,694 : 512,371 = 512,371 : x
  2. Step 2: Convert to fraction form
    235,694/512,371 = 512,371/x
  3. Step 3: Cross multiply
    235,694x = 512,371 × 512,371
  4. Step 4: Simplify right side
    235,694x = 262,524,041,641
  5. Step 5: Solve for x
    x = 262,524,041,641/235,694
  6. Step 6: Final answer
    x = 1,113,834.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.