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Finding the Third Proportional to 336,418 and 560,668

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Solution

The third proportional to 336,418 and 560,668 is: 934,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,418 : 560,668 = 560,668 : x
  2. Step 2: Convert to fraction form
    336,418/560,668 = 560,668/x
  3. Step 3: Cross multiply
    336,418x = 560,668 × 560,668
  4. Step 4: Simplify right side
    336,418x = 314,348,606,224
  5. Step 5: Solve for x
    x = 314,348,606,224/336,418
  6. Step 6: Final answer
    x = 934,398.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.