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Finding the Third Proportional to 308,309.50 and 672,498

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Solution

The third proportional to 308,309.50 and 672,498 is: 1,466,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,309.50 : 672,498 = 672,498 : x
  2. Step 2: Convert to fraction form
    308,309.50/672,498 = 672,498/x
  3. Step 3: Cross multiply
    308,309.50x = 672,498 × 672,498
  4. Step 4: Simplify right side
    308,309.50x = 452,253,560,004
  5. Step 5: Solve for x
    x = 452,253,560,004/308,309.50
  6. Step 6: Final answer
    x = 1,466,881.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.