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Finding the Third Proportional to 322,056 and 464,508

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Solution

The third proportional to 322,056 and 464,508 is: 669,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,056 : 464,508 = 464,508 : x
  2. Step 2: Convert to fraction form
    322,056/464,508 = 464,508/x
  3. Step 3: Cross multiply
    322,056x = 464,508 × 464,508
  4. Step 4: Simplify right side
    322,056x = 215,767,682,064
  5. Step 5: Solve for x
    x = 215,767,682,064/322,056
  6. Step 6: Final answer
    x = 669,969.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.