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Finding the Third Proportional to 301,704.75 and 415,600.13

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Solution

The third proportional to 301,704.75 and 415,600.13 is: 572,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,704.75 : 415,600.13 = 415,600.13 : x
  2. Step 2: Convert to fraction form
    301,704.75/415,600.13 = 415,600.13/x
  3. Step 3: Cross multiply
    301,704.75x = 415,600.13 × 415,600.13
  4. Step 4: Simplify right side
    301,704.75x = 172,723,463,900.02
  5. Step 5: Solve for x
    x = 172,723,463,900.02/301,704.75
  6. Step 6: Final answer
    x = 572,491.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.