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Finding the Third Proportional to 344,815.88 and 538,182

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Solution

The third proportional to 344,815.88 and 538,182 is: 839,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,815.88 : 538,182 = 538,182 : x
  2. Step 2: Convert to fraction form
    344,815.88/538,182 = 538,182/x
  3. Step 3: Cross multiply
    344,815.88x = 538,182 × 538,182
  4. Step 4: Simplify right side
    344,815.88x = 289,639,865,124
  5. Step 5: Solve for x
    x = 289,639,865,124/344,815.88
  6. Step 6: Final answer
    x = 839,984.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.