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Finding the Third Proportional to 403,082 and 878,740

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Solution

The third proportional to 403,082 and 878,740 is: 1,915,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,082 : 878,740 = 878,740 : x
  2. Step 2: Convert to fraction form
    403,082/878,740 = 878,740/x
  3. Step 3: Cross multiply
    403,082x = 878,740 × 878,740
  4. Step 4: Simplify right side
    403,082x = 772,183,987,600
  5. Step 5: Solve for x
    x = 772,183,987,600/403,082
  6. Step 6: Final answer
    x = 1,915,699.50

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Why These Related Problems?

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