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Finding the Third Proportional to 225,895 and 470,517.50

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Solution

The third proportional to 225,895 and 470,517.50 is: 980,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,895 : 470,517.50 = 470,517.50 : x
  2. Step 2: Convert to fraction form
    225,895/470,517.50 = 470,517.50/x
  3. Step 3: Cross multiply
    225,895x = 470,517.50 × 470,517.50
  4. Step 4: Simplify right side
    225,895x = 221,386,717,806.25
  5. Step 5: Solve for x
    x = 221,386,717,806.25/225,895
  6. Step 6: Final answer
    x = 980,042.58

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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.