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Finding the Third Proportional to 220,356 and 475,704

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Solution

The third proportional to 220,356 and 475,704 is: 1,026,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,356 : 475,704 = 475,704 : x
  2. Step 2: Convert to fraction form
    220,356/475,704 = 475,704/x
  3. Step 3: Cross multiply
    220,356x = 475,704 × 475,704
  4. Step 4: Simplify right side
    220,356x = 226,294,295,616
  5. Step 5: Solve for x
    x = 226,294,295,616/220,356
  6. Step 6: Final answer
    x = 1,026,948.64

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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.