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Finding the Third Proportional to 378,001.50 and 584,865

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Solution

The third proportional to 378,001.50 and 584,865 is: 904,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001.50 : 584,865 = 584,865 : x
  2. Step 2: Convert to fraction form
    378,001.50/584,865 = 584,865/x
  3. Step 3: Cross multiply
    378,001.50x = 584,865 × 584,865
  4. Step 4: Simplify right side
    378,001.50x = 342,067,068,225
  5. Step 5: Solve for x
    x = 342,067,068,225/378,001.50
  6. Step 6: Final answer
    x = 904,935.74

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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.