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Finding the Third Proportional to 212,700 and 464,037

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Solution

The third proportional to 212,700 and 464,037 is: 1,012,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,700 : 464,037 = 464,037 : x
  2. Step 2: Convert to fraction form
    212,700/464,037 = 464,037/x
  3. Step 3: Cross multiply
    212,700x = 464,037 × 464,037
  4. Step 4: Simplify right side
    212,700x = 215,330,337,369
  5. Step 5: Solve for x
    x = 215,330,337,369/212,700
  6. Step 6: Final answer
    x = 1,012,366.42

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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.