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Finding the Third Proportional to 301,719.50 and 415,622.25

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Solution

The third proportional to 301,719.50 and 415,622.25 is: 572,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719.50 : 415,622.25 = 415,622.25 : x
  2. Step 2: Convert to fraction form
    301,719.50/415,622.25 = 415,622.25/x
  3. Step 3: Cross multiply
    301,719.50x = 415,622.25 × 415,622.25
  4. Step 4: Simplify right side
    301,719.50x = 172,741,854,695.06
  5. Step 5: Solve for x
    x = 172,741,854,695.06/301,719.50
  6. Step 6: Final answer
    x = 572,524.66

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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.