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Finding the Third Proportional to 216,634.50 and 476,037

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Solution

The third proportional to 216,634.50 and 476,037 is: 1,046,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,634.50 : 476,037 = 476,037 : x
  2. Step 2: Convert to fraction form
    216,634.50/476,037 = 476,037/x
  3. Step 3: Cross multiply
    216,634.50x = 476,037 × 476,037
  4. Step 4: Simplify right side
    216,634.50x = 226,611,225,369
  5. Step 5: Solve for x
    x = 226,611,225,369/216,634.50
  6. Step 6: Final answer
    x = 1,046,053.26

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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.