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Finding the Third Proportional to 409,426.50 and 888,783

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Solution

The third proportional to 409,426.50 and 888,783 is: 1,929,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,426.50 : 888,783 = 888,783 : x
  2. Step 2: Convert to fraction form
    409,426.50/888,783 = 888,783/x
  3. Step 3: Cross multiply
    409,426.50x = 888,783 × 888,783
  4. Step 4: Simplify right side
    409,426.50x = 789,935,221,089
  5. Step 5: Solve for x
    x = 789,935,221,089/409,426.50
  6. Step 6: Final answer
    x = 1,929,370.04

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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.