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Finding the Third Proportional to 308,399 and 462,597

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Solution

The third proportional to 308,399 and 462,597 is: 693,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,399 : 462,597 = 462,597 : x
  2. Step 2: Convert to fraction form
    308,399/462,597 = 462,597/x
  3. Step 3: Cross multiply
    308,399x = 462,597 × 462,597
  4. Step 4: Simplify right side
    308,399x = 213,995,984,409
  5. Step 5: Solve for x
    x = 213,995,984,409/308,399
  6. Step 6: Final answer
    x = 693,893.25

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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.