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Finding the Third Proportional to 308,940 and 669,259.50

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Solution

The third proportional to 308,940 and 669,259.50 is: 1,449,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,940 : 669,259.50 = 669,259.50 : x
  2. Step 2: Convert to fraction form
    308,940/669,259.50 = 669,259.50/x
  3. Step 3: Cross multiply
    308,940x = 669,259.50 × 669,259.50
  4. Step 4: Simplify right side
    308,940x = 447,908,278,340.25
  5. Step 5: Solve for x
    x = 447,908,278,340.25/308,940
  6. Step 6: Final answer
    x = 1,449,822.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.