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Finding the Third Proportional to 214,971 and 455,552

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Solution

The third proportional to 214,971 and 455,552 is: 965,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,971 : 455,552 = 455,552 : x
  2. Step 2: Convert to fraction form
    214,971/455,552 = 455,552/x
  3. Step 3: Cross multiply
    214,971x = 455,552 × 455,552
  4. Step 4: Simplify right side
    214,971x = 207,527,624,704
  5. Step 5: Solve for x
    x = 207,527,624,704/214,971
  6. Step 6: Final answer
    x = 965,374.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.