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Finding the Third Proportional to 326,364.19 and 498,924.56

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Solution

The third proportional to 326,364.19 and 498,924.56 is: 762,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,364.19 : 498,924.56 = 498,924.56 : x
  2. Step 2: Convert to fraction form
    326,364.19/498,924.56 = 498,924.56/x
  3. Step 3: Cross multiply
    326,364.19x = 498,924.56 × 498,924.56
  4. Step 4: Simplify right side
    326,364.19x = 248,925,719,065.82
  5. Step 5: Solve for x
    x = 248,925,719,065.82/326,364.19
  6. Step 6: Final answer
    x = 762,723.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.