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Finding the Third Proportional to 245,934 and 580,328

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Solution

The third proportional to 245,934 and 580,328 is: 1,369,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,934 : 580,328 = 580,328 : x
  2. Step 2: Convert to fraction form
    245,934/580,328 = 580,328/x
  3. Step 3: Cross multiply
    245,934x = 580,328 × 580,328
  4. Step 4: Simplify right side
    245,934x = 336,780,587,584
  5. Step 5: Solve for x
    x = 336,780,587,584/245,934
  6. Step 6: Final answer
    x = 1,369,394.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.