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Finding the Third Proportional to 216,436 and 472,236

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Solution

The third proportional to 216,436 and 472,236 is: 1,030,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,436 : 472,236 = 472,236 : x
  2. Step 2: Convert to fraction form
    216,436/472,236 = 472,236/x
  3. Step 3: Cross multiply
    216,436x = 472,236 × 472,236
  4. Step 4: Simplify right side
    216,436x = 223,006,839,696
  5. Step 5: Solve for x
    x = 223,006,839,696/216,436
  6. Step 6: Final answer
    x = 1,030,359.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.