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Finding the Third Proportional to 334,006 and 503,864

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Solution

The third proportional to 334,006 and 503,864 is: 760,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,006 : 503,864 = 503,864 : x
  2. Step 2: Convert to fraction form
    334,006/503,864 = 503,864/x
  3. Step 3: Cross multiply
    334,006x = 503,864 × 503,864
  4. Step 4: Simplify right side
    334,006x = 253,878,930,496
  5. Step 5: Solve for x
    x = 253,878,930,496/334,006
  6. Step 6: Final answer
    x = 760,102.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.