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Finding the Third Proportional to 283,614.75 and 439,097.63

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Solution

The third proportional to 283,614.75 and 439,097.63 is: 679,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,614.75 : 439,097.63 = 439,097.63 : x
  2. Step 2: Convert to fraction form
    283,614.75/439,097.63 = 439,097.63/x
  3. Step 3: Cross multiply
    283,614.75x = 439,097.63 × 439,097.63
  4. Step 4: Simplify right side
    283,614.75x = 192,806,724,280.64
  5. Step 5: Solve for x
    x = 192,806,724,280.64/283,614.75
  6. Step 6: Final answer
    x = 679,819.10

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