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Finding the Third Proportional to 383,638.78 and 601,842.66

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Solution

The third proportional to 383,638.78 and 601,842.66 is: 944,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,638.78 : 601,842.66 = 601,842.66 : x
  2. Step 2: Convert to fraction form
    383,638.78/601,842.66 = 601,842.66/x
  3. Step 3: Cross multiply
    383,638.78x = 601,842.66 × 601,842.66
  4. Step 4: Simplify right side
    383,638.78x = 362,214,582,882.06
  5. Step 5: Solve for x
    x = 362,214,582,882.06/383,638.78
  6. Step 6: Final answer
    x = 944,155.29

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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.