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Finding the Third Proportional to 268,352 and 568,672

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Solution

The third proportional to 268,352 and 568,672 is: 1,205,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,352 : 568,672 = 568,672 : x
  2. Step 2: Convert to fraction form
    268,352/568,672 = 568,672/x
  3. Step 3: Cross multiply
    268,352x = 568,672 × 568,672
  4. Step 4: Simplify right side
    268,352x = 323,387,843,584
  5. Step 5: Solve for x
    x = 323,387,843,584/268,352
  6. Step 6: Final answer
    x = 1,205,088.26

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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.