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Finding the Third Proportional to 403,400.67 and 880,151.48

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Solution

The third proportional to 403,400.67 and 880,151.48 is: 1,920,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,400.67 : 880,151.48 = 880,151.48 : x
  2. Step 2: Convert to fraction form
    403,400.67/880,151.48 = 880,151.48/x
  3. Step 3: Cross multiply
    403,400.67x = 880,151.48 × 880,151.48
  4. Step 4: Simplify right side
    403,400.67x = 774,666,635,447.52
  5. Step 5: Solve for x
    x = 774,666,635,447.52/403,400.67
  6. Step 6: Final answer
    x = 1,920,340.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.