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Finding the Third Proportional to 323,476 and 498,606

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Solution

The third proportional to 323,476 and 498,606 is: 768,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,476 : 498,606 = 498,606 : x
  2. Step 2: Convert to fraction form
    323,476/498,606 = 498,606/x
  3. Step 3: Cross multiply
    323,476x = 498,606 × 498,606
  4. Step 4: Simplify right side
    323,476x = 248,607,943,236
  5. Step 5: Solve for x
    x = 248,607,943,236/323,476
  6. Step 6: Final answer
    x = 768,551.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.