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Finding the Third Proportional to 383,892.75 and 602,160.75

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Solution

The third proportional to 383,892.75 and 602,160.75 is: 944,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,892.75 : 602,160.75 = 602,160.75 : x
  2. Step 2: Convert to fraction form
    383,892.75/602,160.75 = 602,160.75/x
  3. Step 3: Cross multiply
    383,892.75x = 602,160.75 × 602,160.75
  4. Step 4: Simplify right side
    383,892.75x = 362,597,568,840.56
  5. Step 5: Solve for x
    x = 362,597,568,840.56/383,892.75
  6. Step 6: Final answer
    x = 944,528.31

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Why These Related Problems?

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