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Finding the Third Proportional to 404,321 and 634,184

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Solution

The third proportional to 404,321 and 634,184 is: 994,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,321 : 634,184 = 634,184 : x
  2. Step 2: Convert to fraction form
    404,321/634,184 = 634,184/x
  3. Step 3: Cross multiply
    404,321x = 634,184 × 634,184
  4. Step 4: Simplify right side
    404,321x = 402,189,345,856
  5. Step 5: Solve for x
    x = 402,189,345,856/404,321
  6. Step 6: Final answer
    x = 994,727.82

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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.