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Finding the Third Proportional to 374,074.45 and 580,409.30

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Solution

The third proportional to 374,074.45 and 580,409.30 is: 900,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,074.45 : 580,409.30 = 580,409.30 : x
  2. Step 2: Convert to fraction form
    374,074.45/580,409.30 = 580,409.30/x
  3. Step 3: Cross multiply
    374,074.45x = 580,409.30 × 580,409.30
  4. Step 4: Simplify right side
    374,074.45x = 336,874,951,898.93
  5. Step 5: Solve for x
    x = 336,874,951,898.93/374,074.45
  6. Step 6: Final answer
    x = 900,555.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.