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Finding the Third Proportional to 213,497 and 459,982

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Solution

The third proportional to 213,497 and 459,982 is: 991,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,497 : 459,982 = 459,982 : x
  2. Step 2: Convert to fraction form
    213,497/459,982 = 459,982/x
  3. Step 3: Cross multiply
    213,497x = 459,982 × 459,982
  4. Step 4: Simplify right side
    213,497x = 211,583,440,324
  5. Step 5: Solve for x
    x = 211,583,440,324/213,497
  6. Step 6: Final answer
    x = 991,037.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.