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Finding the Third Proportional to 214,402 and 461,104

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Solution

The third proportional to 214,402 and 461,104 is: 991,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,402 : 461,104 = 461,104 : x
  2. Step 2: Convert to fraction form
    214,402/461,104 = 461,104/x
  3. Step 3: Cross multiply
    214,402x = 461,104 × 461,104
  4. Step 4: Simplify right side
    214,402x = 212,616,898,816
  5. Step 5: Solve for x
    x = 212,616,898,816/214,402
  6. Step 6: Final answer
    x = 991,674.05

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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.