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Finding the Third Proportional to 383,784 and 602,015

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Solution

The third proportional to 383,784 and 602,015 is: 944,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,784 : 602,015 = 602,015 : x
  2. Step 2: Convert to fraction form
    383,784/602,015 = 602,015/x
  3. Step 3: Cross multiply
    383,784x = 602,015 × 602,015
  4. Step 4: Simplify right side
    383,784x = 362,422,060,225
  5. Step 5: Solve for x
    x = 362,422,060,225/383,784
  6. Step 6: Final answer
    x = 944,338.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.