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Finding the Third Proportional to 268,371 and 568,737

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Solution

The third proportional to 268,371 and 568,737 is: 1,205,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,371 : 568,737 = 568,737 : x
  2. Step 2: Convert to fraction form
    268,371/568,737 = 568,737/x
  3. Step 3: Cross multiply
    268,371x = 568,737 × 568,737
  4. Step 4: Simplify right side
    268,371x = 323,461,775,169
  5. Step 5: Solve for x
    x = 323,461,775,169/268,371
  6. Step 6: Final answer
    x = 1,205,278.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.