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Finding the Third Proportional to 219,751.50 and 475,983

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Solution

The third proportional to 219,751.50 and 475,983 is: 1,030,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,751.50 : 475,983 = 475,983 : x
  2. Step 2: Convert to fraction form
    219,751.50/475,983 = 475,983/x
  3. Step 3: Cross multiply
    219,751.50x = 475,983 × 475,983
  4. Step 4: Simplify right side
    219,751.50x = 226,559,816,289
  5. Step 5: Solve for x
    x = 226,559,816,289/219,751.50
  6. Step 6: Final answer
    x = 1,030,981.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.