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Finding the Third Proportional to 225,772 and 490,410

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Solution

The third proportional to 225,772 and 490,410 is: 1,065,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,772 : 490,410 = 490,410 : x
  2. Step 2: Convert to fraction form
    225,772/490,410 = 490,410/x
  3. Step 3: Cross multiply
    225,772x = 490,410 × 490,410
  4. Step 4: Simplify right side
    225,772x = 240,501,968,100
  5. Step 5: Solve for x
    x = 240,501,968,100/225,772
  6. Step 6: Final answer
    x = 1,065,242.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.