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Finding the Third Proportional to 306,100.69 and 482,626.69

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Solution

The third proportional to 306,100.69 and 482,626.69 is: 760,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,100.69 : 482,626.69 = 482,626.69 : x
  2. Step 2: Convert to fraction form
    306,100.69/482,626.69 = 482,626.69/x
  3. Step 3: Cross multiply
    306,100.69x = 482,626.69 × 482,626.69
  4. Step 4: Simplify right side
    306,100.69x = 232,928,519,487.22
  5. Step 5: Solve for x
    x = 232,928,519,487.22/306,100.69
  6. Step 6: Final answer
    x = 760,953.92

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