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Finding the Third Proportional to 223,523.25 and 479,005.50

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Solution

The third proportional to 223,523.25 and 479,005.50 is: 1,026,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,523.25 : 479,005.50 = 479,005.50 : x
  2. Step 2: Convert to fraction form
    223,523.25/479,005.50 = 479,005.50/x
  3. Step 3: Cross multiply
    223,523.25x = 479,005.50 × 479,005.50
  4. Step 4: Simplify right side
    223,523.25x = 229,446,269,030.25
  5. Step 5: Solve for x
    x = 229,446,269,030.25/223,523.25
  6. Step 6: Final answer
    x = 1,026,498.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.