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Finding the Third Proportional to 409,751.16 and 835,760.53

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Solution

The third proportional to 409,751.16 and 835,760.53 is: 1,704,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,751.16 : 835,760.53 = 835,760.53 : x
  2. Step 2: Convert to fraction form
    409,751.16/835,760.53 = 835,760.53/x
  3. Step 3: Cross multiply
    409,751.16x = 835,760.53 × 835,760.53
  4. Step 4: Simplify right side
    409,751.16x = 698,495,665,595.28
  5. Step 5: Solve for x
    x = 698,495,665,595.28/409,751.16
  6. Step 6: Final answer
    x = 1,704,682.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.