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Finding the Third Proportional to 409,725.50 and 894,169

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Solution

The third proportional to 409,725.50 and 894,169 is: 1,951,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,725.50 : 894,169 = 894,169 : x
  2. Step 2: Convert to fraction form
    409,725.50/894,169 = 894,169/x
  3. Step 3: Cross multiply
    409,725.50x = 894,169 × 894,169
  4. Step 4: Simplify right side
    409,725.50x = 799,538,200,561
  5. Step 5: Solve for x
    x = 799,538,200,561/409,725.50
  6. Step 6: Final answer
    x = 1,951,399.66

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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.