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Finding the Third Proportional to 404,845 and 605,037.50

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Solution

The third proportional to 404,845 and 605,037.50 is: 904,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,845 : 605,037.50 = 605,037.50 : x
  2. Step 2: Convert to fraction form
    404,845/605,037.50 = 605,037.50/x
  3. Step 3: Cross multiply
    404,845x = 605,037.50 × 605,037.50
  4. Step 4: Simplify right side
    404,845x = 366,070,376,406.25
  5. Step 5: Solve for x
    x = 366,070,376,406.25/404,845
  6. Step 6: Final answer
    x = 904,223.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.