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Finding the Third Proportional to 216,356 and 475,336

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Solution

The third proportional to 216,356 and 475,336 is: 1,044,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,356 : 475,336 = 475,336 : x
  2. Step 2: Convert to fraction form
    216,356/475,336 = 475,336/x
  3. Step 3: Cross multiply
    216,356x = 475,336 × 475,336
  4. Step 4: Simplify right side
    216,356x = 225,944,312,896
  5. Step 5: Solve for x
    x = 225,944,312,896/216,356
  6. Step 6: Final answer
    x = 1,044,317.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.