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Finding the Third Proportional to 306,316.69 and 467,778.80

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Solution

The third proportional to 306,316.69 and 467,778.80 is: 714,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.69 : 467,778.80 = 467,778.80 : x
  2. Step 2: Convert to fraction form
    306,316.69/467,778.80 = 467,778.80/x
  3. Step 3: Cross multiply
    306,316.69x = 467,778.80 × 467,778.80
  4. Step 4: Simplify right side
    306,316.69x = 218,817,002,805.82
  5. Step 5: Solve for x
    x = 218,817,002,805.82/306,316.69
  6. Step 6: Final answer
    x = 714,348.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.