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Finding the Third Proportional to 383,782 and 602,012

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Solution

The third proportional to 383,782 and 602,012 is: 944,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,782 : 602,012 = 602,012 : x
  2. Step 2: Convert to fraction form
    383,782/602,012 = 602,012/x
  3. Step 3: Cross multiply
    383,782x = 602,012 × 602,012
  4. Step 4: Simplify right side
    383,782x = 362,418,448,144
  5. Step 5: Solve for x
    x = 362,418,448,144/383,782
  6. Step 6: Final answer
    x = 944,334.15

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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.