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Finding the Third Proportional to 349,899.75 and 474,784.88

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Solution

The third proportional to 349,899.75 and 474,784.88 is: 644,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,899.75 : 474,784.88 = 474,784.88 : x
  2. Step 2: Convert to fraction form
    349,899.75/474,784.88 = 474,784.88/x
  3. Step 3: Cross multiply
    349,899.75x = 474,784.88 × 474,784.88
  4. Step 4: Simplify right side
    349,899.75x = 225,420,677,528.77
  5. Step 5: Solve for x
    x = 225,420,677,528.77/349,899.75
  6. Step 6: Final answer
    x = 644,243.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.