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Finding the Third Proportional to 523,934 and 788,494

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Solution

The third proportional to 523,934 and 788,494 is: 1,186,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,934 : 788,494 = 788,494 : x
  2. Step 2: Convert to fraction form
    523,934/788,494 = 788,494/x
  3. Step 3: Cross multiply
    523,934x = 788,494 × 788,494
  4. Step 4: Simplify right side
    523,934x = 621,722,788,036
  5. Step 5: Solve for x
    x = 621,722,788,036/523,934
  6. Step 6: Final answer
    x = 1,186,643.33

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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.