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Finding the Third Proportional to 225,812 and 497,704

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Solution

The third proportional to 225,812 and 497,704 is: 1,096,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812 : 497,704 = 497,704 : x
  2. Step 2: Convert to fraction form
    225,812/497,704 = 497,704/x
  3. Step 3: Cross multiply
    225,812x = 497,704 × 497,704
  4. Step 4: Simplify right side
    225,812x = 247,709,271,616
  5. Step 5: Solve for x
    x = 247,709,271,616/225,812
  6. Step 6: Final answer
    x = 1,096,971.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.