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Finding the Third Proportional to 285,330 and 674,774

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Solution

The third proportional to 285,330 and 674,774 is: 1,595,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,330 : 674,774 = 674,774 : x
  2. Step 2: Convert to fraction form
    285,330/674,774 = 674,774/x
  3. Step 3: Cross multiply
    285,330x = 674,774 × 674,774
  4. Step 4: Simplify right side
    285,330x = 455,319,951,076
  5. Step 5: Solve for x
    x = 455,319,951,076/285,330
  6. Step 6: Final answer
    x = 1,595,766.13

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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.