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Finding the Third Proportional to 285,328.50 and 674,769

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Solution

The third proportional to 285,328.50 and 674,769 is: 1,595,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,328.50 : 674,769 = 674,769 : x
  2. Step 2: Convert to fraction form
    285,328.50/674,769 = 674,769/x
  3. Step 3: Cross multiply
    285,328.50x = 674,769 × 674,769
  4. Step 4: Simplify right side
    285,328.50x = 455,313,203,361
  5. Step 5: Solve for x
    x = 455,313,203,361/285,328.50
  6. Step 6: Final answer
    x = 1,595,750.87

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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.