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Finding the Third Proportional to 219,658.50 and 479,594.25

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Solution

The third proportional to 219,658.50 and 479,594.25 is: 1,047,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,658.50 : 479,594.25 = 479,594.25 : x
  2. Step 2: Convert to fraction form
    219,658.50/479,594.25 = 479,594.25/x
  3. Step 3: Cross multiply
    219,658.50x = 479,594.25 × 479,594.25
  4. Step 4: Simplify right side
    219,658.50x = 230,010,644,633.06
  5. Step 5: Solve for x
    x = 230,010,644,633.06/219,658.50
  6. Step 6: Final answer
    x = 1,047,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.