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Finding the Third Proportional to 216,520 and 475,482

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Solution

The third proportional to 216,520 and 475,482 is: 1,044,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,520 : 475,482 = 475,482 : x
  2. Step 2: Convert to fraction form
    216,520/475,482 = 475,482/x
  3. Step 3: Cross multiply
    216,520x = 475,482 × 475,482
  4. Step 4: Simplify right side
    216,520x = 226,083,132,324
  5. Step 5: Solve for x
    x = 226,083,132,324/216,520
  6. Step 6: Final answer
    x = 1,044,167.43

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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.