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Finding the Third Proportional to 380,585.50 and 828,977

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Solution

The third proportional to 380,585.50 and 828,977 is: 1,805,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,585.50 : 828,977 = 828,977 : x
  2. Step 2: Convert to fraction form
    380,585.50/828,977 = 828,977/x
  3. Step 3: Cross multiply
    380,585.50x = 828,977 × 828,977
  4. Step 4: Simplify right side
    380,585.50x = 687,202,866,529
  5. Step 5: Solve for x
    x = 687,202,866,529/380,585.50
  6. Step 6: Final answer
    x = 1,805,646.48

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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.