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Finding the Third Proportional to 323,523 and 702,935

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Solution

The third proportional to 323,523 and 702,935 is: 1,527,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,523 : 702,935 = 702,935 : x
  2. Step 2: Convert to fraction form
    323,523/702,935 = 702,935/x
  3. Step 3: Cross multiply
    323,523x = 702,935 × 702,935
  4. Step 4: Simplify right side
    323,523x = 494,117,614,225
  5. Step 5: Solve for x
    x = 494,117,614,225/323,523
  6. Step 6: Final answer
    x = 1,527,302.89

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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.