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Finding the Third Proportional to 322,116 and 425,906

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Solution

The third proportional to 322,116 and 425,906 is: 563,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,116 : 425,906 = 425,906 : x
  2. Step 2: Convert to fraction form
    322,116/425,906 = 425,906/x
  3. Step 3: Cross multiply
    322,116x = 425,906 × 425,906
  4. Step 4: Simplify right side
    322,116x = 181,395,920,836
  5. Step 5: Solve for x
    x = 181,395,920,836/322,116
  6. Step 6: Final answer
    x = 563,138.50

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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.