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Finding the Third Proportional to 322,023 and 423,562

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Solution

The third proportional to 322,023 and 423,562 is: 557,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,023 : 423,562 = 423,562 : x
  2. Step 2: Convert to fraction form
    322,023/423,562 = 423,562/x
  3. Step 3: Cross multiply
    322,023x = 423,562 × 423,562
  4. Step 4: Simplify right side
    322,023x = 179,404,767,844
  5. Step 5: Solve for x
    x = 179,404,767,844/322,023
  6. Step 6: Final answer
    x = 557,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.