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Finding the Third Proportional to 323,564 and 496,614

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Solution

The third proportional to 323,564 and 496,614 is: 762,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,564 : 496,614 = 496,614 : x
  2. Step 2: Convert to fraction form
    323,564/496,614 = 496,614/x
  3. Step 3: Cross multiply
    323,564x = 496,614 × 496,614
  4. Step 4: Simplify right side
    323,564x = 246,625,464,996
  5. Step 5: Solve for x
    x = 246,625,464,996/323,564
  6. Step 6: Final answer
    x = 762,215.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.