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Finding the Third Proportional to 225,930 and 470,574

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Solution

The third proportional to 225,930 and 470,574 is: 980,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,930 : 470,574 = 470,574 : x
  2. Step 2: Convert to fraction form
    225,930/470,574 = 470,574/x
  3. Step 3: Cross multiply
    225,930x = 470,574 × 470,574
  4. Step 4: Simplify right side
    225,930x = 221,439,889,476
  5. Step 5: Solve for x
    x = 221,439,889,476/225,930
  6. Step 6: Final answer
    x = 980,126.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.