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Finding the Third Proportional to 322,058 and 473,463

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Solution

The third proportional to 322,058 and 473,463 is: 696,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,058 : 473,463 = 473,463 : x
  2. Step 2: Convert to fraction form
    322,058/473,463 = 473,463/x
  3. Step 3: Cross multiply
    322,058x = 473,463 × 473,463
  4. Step 4: Simplify right side
    322,058x = 224,167,212,369
  5. Step 5: Solve for x
    x = 224,167,212,369/322,058
  6. Step 6: Final answer
    x = 696,046.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.