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Finding the Third Proportional to 326,691 and 492,804

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Solution

The third proportional to 326,691 and 492,804 is: 743,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,691 : 492,804 = 492,804 : x
  2. Step 2: Convert to fraction form
    326,691/492,804 = 492,804/x
  3. Step 3: Cross multiply
    326,691x = 492,804 × 492,804
  4. Step 4: Simplify right side
    326,691x = 242,855,782,416
  5. Step 5: Solve for x
    x = 242,855,782,416/326,691
  6. Step 6: Final answer
    x = 743,380.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.