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Finding the Third Proportional to 404,200.50 and 634,074

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Solution

The third proportional to 404,200.50 and 634,074 is: 994,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,200.50 : 634,074 = 634,074 : x
  2. Step 2: Convert to fraction form
    404,200.50/634,074 = 634,074/x
  3. Step 3: Cross multiply
    404,200.50x = 634,074 × 634,074
  4. Step 4: Simplify right side
    404,200.50x = 402,049,837,476
  5. Step 5: Solve for x
    x = 402,049,837,476/404,200.50
  6. Step 6: Final answer
    x = 994,679.22

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