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Finding the Third Proportional to 326,475.75 and 462,376

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Solution

The third proportional to 326,475.75 and 462,376 is: 654,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,475.75 : 462,376 = 462,376 : x
  2. Step 2: Convert to fraction form
    326,475.75/462,376 = 462,376/x
  3. Step 3: Cross multiply
    326,475.75x = 462,376 × 462,376
  4. Step 4: Simplify right side
    326,475.75x = 213,791,565,376
  5. Step 5: Solve for x
    x = 213,791,565,376/326,475.75
  6. Step 6: Final answer
    x = 654,846.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.