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Finding the Third Proportional to 225,898.50 and 470,511

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Solution

The third proportional to 225,898.50 and 470,511 is: 980,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,898.50 : 470,511 = 470,511 : x
  2. Step 2: Convert to fraction form
    225,898.50/470,511 = 470,511/x
  3. Step 3: Cross multiply
    225,898.50x = 470,511 × 470,511
  4. Step 4: Simplify right side
    225,898.50x = 221,380,601,121
  5. Step 5: Solve for x
    x = 221,380,601,121/225,898.50
  6. Step 6: Final answer
    x = 980,000.31

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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.