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Finding the Third Proportional to 212,818 and 461,060

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Solution

The third proportional to 212,818 and 461,060 is: 998,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,818 : 461,060 = 461,060 : x
  2. Step 2: Convert to fraction form
    212,818/461,060 = 461,060/x
  3. Step 3: Cross multiply
    212,818x = 461,060 × 461,060
  4. Step 4: Simplify right side
    212,818x = 212,576,323,600
  5. Step 5: Solve for x
    x = 212,576,323,600/212,818
  6. Step 6: Final answer
    x = 998,864.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.