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Finding the Third Proportional to 212,478 and 464,160

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Solution

The third proportional to 212,478 and 464,160 is: 1,013,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,478 : 464,160 = 464,160 : x
  2. Step 2: Convert to fraction form
    212,478/464,160 = 464,160/x
  3. Step 3: Cross multiply
    212,478x = 464,160 × 464,160
  4. Step 4: Simplify right side
    212,478x = 215,444,505,600
  5. Step 5: Solve for x
    x = 215,444,505,600/212,478
  6. Step 6: Final answer
    x = 1,013,961.47

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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.