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Finding the Third Proportional to 212,814 and 456,988

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Solution

The third proportional to 212,814 and 456,988 is: 981,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814 : 456,988 = 456,988 : x
  2. Step 2: Convert to fraction form
    212,814/456,988 = 456,988/x
  3. Step 3: Cross multiply
    212,814x = 456,988 × 456,988
  4. Step 4: Simplify right side
    212,814x = 208,838,032,144
  5. Step 5: Solve for x
    x = 208,838,032,144/212,814
  6. Step 6: Final answer
    x = 981,317.17

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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.