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Finding the Third Proportional to 392,998 and 588,889.50

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Solution

The third proportional to 392,998 and 588,889.50 is: 882,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,998 : 588,889.50 = 588,889.50 : x
  2. Step 2: Convert to fraction form
    392,998/588,889.50 = 588,889.50/x
  3. Step 3: Cross multiply
    392,998x = 588,889.50 × 588,889.50
  4. Step 4: Simplify right side
    392,998x = 346,790,843,210.25
  5. Step 5: Solve for x
    x = 346,790,843,210.25/392,998
  6. Step 6: Final answer
    x = 882,423.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.