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Finding the Third Proportional to 214,092 and 461,070

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Solution

The third proportional to 214,092 and 461,070 is: 992,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,092 : 461,070 = 461,070 : x
  2. Step 2: Convert to fraction form
    214,092/461,070 = 461,070/x
  3. Step 3: Cross multiply
    214,092x = 461,070 × 461,070
  4. Step 4: Simplify right side
    214,092x = 212,585,544,900
  5. Step 5: Solve for x
    x = 212,585,544,900/214,092
  6. Step 6: Final answer
    x = 992,963.52

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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.