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Finding the Third Proportional to 407,647.69 and 864,624.38

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Solution

The third proportional to 407,647.69 and 864,624.38 is: 1,833,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,647.69 : 864,624.38 = 864,624.38 : x
  2. Step 2: Convert to fraction form
    407,647.69/864,624.38 = 864,624.38/x
  3. Step 3: Cross multiply
    407,647.69x = 864,624.38 × 864,624.38
  4. Step 4: Simplify right side
    407,647.69x = 747,575,309,844.14
  5. Step 5: Solve for x
    x = 747,575,309,844.14/407,647.69
  6. Step 6: Final answer
    x = 1,833,876.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.