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Finding the Third Proportional to 234,924 and 363,906

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Solution

The third proportional to 234,924 and 363,906 is: 563,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,924 : 363,906 = 363,906 : x
  2. Step 2: Convert to fraction form
    234,924/363,906 = 363,906/x
  3. Step 3: Cross multiply
    234,924x = 363,906 × 363,906
  4. Step 4: Simplify right side
    234,924x = 132,427,576,836
  5. Step 5: Solve for x
    x = 132,427,576,836/234,924
  6. Step 6: Final answer
    x = 563,703.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.