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Finding the Third Proportional to 503,906 and 763,857

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Solution

The third proportional to 503,906 and 763,857 is: 1,157,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,906 : 763,857 = 763,857 : x
  2. Step 2: Convert to fraction form
    503,906/763,857 = 763,857/x
  3. Step 3: Cross multiply
    503,906x = 763,857 × 763,857
  4. Step 4: Simplify right side
    503,906x = 583,477,516,449
  5. Step 5: Solve for x
    x = 583,477,516,449/503,906
  6. Step 6: Final answer
    x = 1,157,909.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.