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Finding the Third Proportional to 384,527.25 and 596,944.69

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Solution

The third proportional to 384,527.25 and 596,944.69 is: 926,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,527.25 : 596,944.69 = 596,944.69 : x
  2. Step 2: Convert to fraction form
    384,527.25/596,944.69 = 596,944.69/x
  3. Step 3: Cross multiply
    384,527.25x = 596,944.69 × 596,944.69
  4. Step 4: Simplify right side
    384,527.25x = 356,342,959,934.47
  5. Step 5: Solve for x
    x = 356,342,959,934.47/384,527.25
  6. Step 6: Final answer
    x = 926,704.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.