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Finding the Third Proportional to 305,861.06 and 482,005.69

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Solution

The third proportional to 305,861.06 and 482,005.69 is: 759,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,861.06 : 482,005.69 = 482,005.69 : x
  2. Step 2: Convert to fraction form
    305,861.06/482,005.69 = 482,005.69/x
  3. Step 3: Cross multiply
    305,861.06x = 482,005.69 × 482,005.69
  4. Step 4: Simplify right side
    305,861.06x = 232,329,482,782.35
  5. Step 5: Solve for x
    x = 232,329,482,782.35/305,861.06
  6. Step 6: Final answer
    x = 759,591.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.