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Finding the Third Proportional to 225,489 and 469,636.50

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Solution

The third proportional to 225,489 and 469,636.50 is: 978,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,489 : 469,636.50 = 469,636.50 : x
  2. Step 2: Convert to fraction form
    225,489/469,636.50 = 469,636.50/x
  3. Step 3: Cross multiply
    225,489x = 469,636.50 × 469,636.50
  4. Step 4: Simplify right side
    225,489x = 220,558,442,132.25
  5. Step 5: Solve for x
    x = 220,558,442,132.25/225,489
  6. Step 6: Final answer
    x = 978,133.93

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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.