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Finding the Third Proportional to 302,222 and 661,756

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Solution

The third proportional to 302,222 and 661,756 is: 1,449,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,222 : 661,756 = 661,756 : x
  2. Step 2: Convert to fraction form
    302,222/661,756 = 661,756/x
  3. Step 3: Cross multiply
    302,222x = 661,756 × 661,756
  4. Step 4: Simplify right side
    302,222x = 437,921,003,536
  5. Step 5: Solve for x
    x = 437,921,003,536/302,222
  6. Step 6: Final answer
    x = 1,449,004.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.