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Finding the Third Proportional to 308,389.78 and 462,584.67

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Solution

The third proportional to 308,389.78 and 462,584.67 is: 693,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,389.78 : 462,584.67 = 462,584.67 : x
  2. Step 2: Convert to fraction form
    308,389.78/462,584.67 = 462,584.67/x
  3. Step 3: Cross multiply
    308,389.78x = 462,584.67 × 462,584.67
  4. Step 4: Simplify right side
    308,389.78x = 213,984,578,653.70
  5. Step 5: Solve for x
    x = 213,984,578,653.70/308,389.78
  6. Step 6: Final answer
    x = 693,877.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.