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Finding the Third Proportional to 297,004.50 and 393,832.13

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Solution

The third proportional to 297,004.50 and 393,832.13 is: 522,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,004.50 : 393,832.13 = 393,832.13 : x
  2. Step 2: Convert to fraction form
    297,004.50/393,832.13 = 393,832.13/x
  3. Step 3: Cross multiply
    297,004.50x = 393,832.13 × 393,832.13
  4. Step 4: Simplify right side
    297,004.50x = 155,103,742,682.02
  5. Step 5: Solve for x
    x = 155,103,742,682.02/297,004.50
  6. Step 6: Final answer
    x = 522,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.