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Finding the Third Proportional to 262,290 and 562,806

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Solution

The third proportional to 262,290 and 562,806 is: 1,207,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,290 : 562,806 = 562,806 : x
  2. Step 2: Convert to fraction form
    262,290/562,806 = 562,806/x
  3. Step 3: Cross multiply
    262,290x = 562,806 × 562,806
  4. Step 4: Simplify right side
    262,290x = 316,750,593,636
  5. Step 5: Solve for x
    x = 316,750,593,636/262,290
  6. Step 6: Final answer
    x = 1,207,635.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.