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Finding the Third Proportional to 323,523 and 702,936

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Solution

The third proportional to 323,523 and 702,936 is: 1,527,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,523 : 702,936 = 702,936 : x
  2. Step 2: Convert to fraction form
    323,523/702,936 = 702,936/x
  3. Step 3: Cross multiply
    323,523x = 702,936 × 702,936
  4. Step 4: Simplify right side
    323,523x = 494,119,020,096
  5. Step 5: Solve for x
    x = 494,119,020,096/323,523
  6. Step 6: Final answer
    x = 1,527,307.24

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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.