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Finding the Third Proportional to 214,948 and 455,497

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Solution

The third proportional to 214,948 and 455,497 is: 965,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,948 : 455,497 = 455,497 : x
  2. Step 2: Convert to fraction form
    214,948/455,497 = 455,497/x
  3. Step 3: Cross multiply
    214,948x = 455,497 × 455,497
  4. Step 4: Simplify right side
    214,948x = 207,477,517,009
  5. Step 5: Solve for x
    x = 207,477,517,009/214,948
  6. Step 6: Final answer
    x = 965,245.16

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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.