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Finding the Third Proportional to 515,714 and 788,394

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Solution

The third proportional to 515,714 and 788,394 is: 1,205,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,714 : 788,394 = 788,394 : x
  2. Step 2: Convert to fraction form
    515,714/788,394 = 788,394/x
  3. Step 3: Cross multiply
    515,714x = 788,394 × 788,394
  4. Step 4: Simplify right side
    515,714x = 621,565,099,236
  5. Step 5: Solve for x
    x = 621,565,099,236/515,714
  6. Step 6: Final answer
    x = 1,205,251.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.