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Finding the Third Proportional to 234,846 and 363,789

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Solution

The third proportional to 234,846 and 363,789 is: 563,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,846 : 363,789 = 363,789 : x
  2. Step 2: Convert to fraction form
    234,846/363,789 = 363,789/x
  3. Step 3: Cross multiply
    234,846x = 363,789 × 363,789
  4. Step 4: Simplify right side
    234,846x = 132,342,436,521
  5. Step 5: Solve for x
    x = 132,342,436,521/234,846
  6. Step 6: Final answer
    x = 563,528.60

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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.