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Finding the Third Proportional to 358,303.50 and 454,212.56

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Solution

The third proportional to 358,303.50 and 454,212.56 is: 575,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,303.50 : 454,212.56 = 454,212.56 : x
  2. Step 2: Convert to fraction form
    358,303.50/454,212.56 = 454,212.56/x
  3. Step 3: Cross multiply
    358,303.50x = 454,212.56 × 454,212.56
  4. Step 4: Simplify right side
    358,303.50x = 206,309,051,932.82
  5. Step 5: Solve for x
    x = 206,309,051,932.82/358,303.50
  6. Step 6: Final answer
    x = 575,794.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.