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Finding the Third Proportional to 215,351 and 502,982

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Solution

The third proportional to 215,351 and 502,982 is: 1,174,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,351 : 502,982 = 502,982 : x
  2. Step 2: Convert to fraction form
    215,351/502,982 = 502,982/x
  3. Step 3: Cross multiply
    215,351x = 502,982 × 502,982
  4. Step 4: Simplify right side
    215,351x = 252,990,892,324
  5. Step 5: Solve for x
    x = 252,990,892,324/215,351
  6. Step 6: Final answer
    x = 1,174,783.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.