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Finding the Third Proportional to 383,372.44 and 779,315.06

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Solution

The third proportional to 383,372.44 and 779,315.06 is: 1,584,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,372.44 : 779,315.06 = 779,315.06 : x
  2. Step 2: Convert to fraction form
    383,372.44/779,315.06 = 779,315.06/x
  3. Step 3: Cross multiply
    383,372.44x = 779,315.06 × 779,315.06
  4. Step 4: Simplify right side
    383,372.44x = 607,331,966,639.38
  5. Step 5: Solve for x
    x = 607,331,966,639.38/383,372.44
  6. Step 6: Final answer
    x = 1,584,182.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.