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Finding the Third Proportional to 323,304 and 702,576

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Solution

The third proportional to 323,304 and 702,576 is: 1,526,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,304 : 702,576 = 702,576 : x
  2. Step 2: Convert to fraction form
    323,304/702,576 = 702,576/x
  3. Step 3: Cross multiply
    323,304x = 702,576 × 702,576
  4. Step 4: Simplify right side
    323,304x = 493,613,035,776
  5. Step 5: Solve for x
    x = 493,613,035,776/323,304
  6. Step 6: Final answer
    x = 1,526,776.77

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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.