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Finding the Third Proportional to 404,199.66 and 634,069.03

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Solution

The third proportional to 404,199.66 and 634,069.03 is: 994,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,199.66 : 634,069.03 = 634,069.03 : x
  2. Step 2: Convert to fraction form
    404,199.66/634,069.03 = 634,069.03/x
  3. Step 3: Cross multiply
    404,199.66x = 634,069.03 × 634,069.03
  4. Step 4: Simplify right side
    404,199.66x = 402,043,536,390.31
  5. Step 5: Solve for x
    x = 402,043,536,390.31/404,199.66
  6. Step 6: Final answer
    x = 994,665.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.