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Finding the Third Proportional to 212,436 and 464,967

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Solution

The third proportional to 212,436 and 464,967 is: 1,017,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,436 : 464,967 = 464,967 : x
  2. Step 2: Convert to fraction form
    212,436/464,967 = 464,967/x
  3. Step 3: Cross multiply
    212,436x = 464,967 × 464,967
  4. Step 4: Simplify right side
    212,436x = 216,194,311,089
  5. Step 5: Solve for x
    x = 216,194,311,089/212,436
  6. Step 6: Final answer
    x = 1,017,691.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.