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Finding the Third Proportional to 267,641.72 and 384,695.58

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Solution

The third proportional to 267,641.72 and 384,695.58 is: 552,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,641.72 : 384,695.58 = 384,695.58 : x
  2. Step 2: Convert to fraction form
    267,641.72/384,695.58 = 384,695.58/x
  3. Step 3: Cross multiply
    267,641.72x = 384,695.58 × 384,695.58
  4. Step 4: Simplify right side
    267,641.72x = 147,990,687,828.93
  5. Step 5: Solve for x
    x = 147,990,687,828.93/267,641.72
  6. Step 6: Final answer
    x = 552,943.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.