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Finding the Third Proportional to 219,238 and 473,446

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Solution

The third proportional to 219,238 and 473,446 is: 1,022,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,238 : 473,446 = 473,446 : x
  2. Step 2: Convert to fraction form
    219,238/473,446 = 473,446/x
  3. Step 3: Cross multiply
    219,238x = 473,446 × 473,446
  4. Step 4: Simplify right side
    219,238x = 224,151,114,916
  5. Step 5: Solve for x
    x = 224,151,114,916/219,238
  6. Step 6: Final answer
    x = 1,022,409.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.