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Finding the Third Proportional to 323,328 and 702,624

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Solution

The third proportional to 323,328 and 702,624 is: 1,526,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,328 : 702,624 = 702,624 : x
  2. Step 2: Convert to fraction form
    323,328/702,624 = 702,624/x
  3. Step 3: Cross multiply
    323,328x = 702,624 × 702,624
  4. Step 4: Simplify right side
    323,328x = 493,680,485,376
  5. Step 5: Solve for x
    x = 493,680,485,376/323,328
  6. Step 6: Final answer
    x = 1,526,872.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.