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Finding the Third Proportional to 454,295.25 and 700,396.88

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Solution

The third proportional to 454,295.25 and 700,396.88 is: 1,079,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,295.25 : 700,396.88 = 700,396.88 : x
  2. Step 2: Convert to fraction form
    454,295.25/700,396.88 = 700,396.88/x
  3. Step 3: Cross multiply
    454,295.25x = 700,396.88 × 700,396.88
  4. Step 4: Simplify right side
    454,295.25x = 490,555,782,509.77
  5. Step 5: Solve for x
    x = 490,555,782,509.77/454,295.25
  6. Step 6: Final answer
    x = 1,079,817.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.