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Finding the Third Proportional to 262,120 and 392,244

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Solution

The third proportional to 262,120 and 392,244 is: 586,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,120 : 392,244 = 392,244 : x
  2. Step 2: Convert to fraction form
    262,120/392,244 = 392,244/x
  3. Step 3: Cross multiply
    262,120x = 392,244 × 392,244
  4. Step 4: Simplify right side
    262,120x = 153,855,355,536
  5. Step 5: Solve for x
    x = 153,855,355,536/262,120
  6. Step 6: Final answer
    x = 586,965.34

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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.