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Finding the Third Proportional to 404,442 and 634,396.50

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Solution

The third proportional to 404,442 and 634,396.50 is: 995,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,442 : 634,396.50 = 634,396.50 : x
  2. Step 2: Convert to fraction form
    404,442/634,396.50 = 634,396.50/x
  3. Step 3: Cross multiply
    404,442x = 634,396.50 × 634,396.50
  4. Step 4: Simplify right side
    404,442x = 402,458,919,212.25
  5. Step 5: Solve for x
    x = 402,458,919,212.25/404,442
  6. Step 6: Final answer
    x = 995,096.75

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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.