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Finding the Third Proportional to 219,039.50 and 475,446

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Solution

The third proportional to 219,039.50 and 475,446 is: 1,032,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,039.50 : 475,446 = 475,446 : x
  2. Step 2: Convert to fraction form
    219,039.50/475,446 = 475,446/x
  3. Step 3: Cross multiply
    219,039.50x = 475,446 × 475,446
  4. Step 4: Simplify right side
    219,039.50x = 226,048,898,916
  5. Step 5: Solve for x
    x = 226,048,898,916/219,039.50
  6. Step 6: Final answer
    x = 1,032,000.62

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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.