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Finding the Third Proportional to 225,478.50 and 469,614

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Solution

The third proportional to 225,478.50 and 469,614 is: 978,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,478.50 : 469,614 = 469,614 : x
  2. Step 2: Convert to fraction form
    225,478.50/469,614 = 469,614/x
  3. Step 3: Cross multiply
    225,478.50x = 469,614 × 469,614
  4. Step 4: Simplify right side
    225,478.50x = 220,537,308,996
  5. Step 5: Solve for x
    x = 220,537,308,996/225,478.50
  6. Step 6: Final answer
    x = 978,085.76

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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.