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Finding the Third Proportional to 334,222 and 501,251

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Solution

The third proportional to 334,222 and 501,251 is: 751,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,222 : 501,251 = 501,251 : x
  2. Step 2: Convert to fraction form
    334,222/501,251 = 501,251/x
  3. Step 3: Cross multiply
    334,222x = 501,251 × 501,251
  4. Step 4: Simplify right side
    334,222x = 251,252,565,001
  5. Step 5: Solve for x
    x = 251,252,565,001/334,222
  6. Step 6: Final answer
    x = 751,753.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.