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Finding the Third Proportional to 378,922.50 and 588,340.50

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Solution

The third proportional to 378,922.50 and 588,340.50 is: 913,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,922.50 : 588,340.50 = 588,340.50 : x
  2. Step 2: Convert to fraction form
    378,922.50/588,340.50 = 588,340.50/x
  3. Step 3: Cross multiply
    378,922.50x = 588,340.50 × 588,340.50
  4. Step 4: Simplify right side
    378,922.50x = 346,144,543,940.25
  5. Step 5: Solve for x
    x = 346,144,543,940.25/378,922.50
  6. Step 6: Final answer
    x = 913,496.94

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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.