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Finding the Third Proportional to 523,265.06 and 788,999.06

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Solution

The third proportional to 523,265.06 and 788,999.06 is: 1,189,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,265.06 : 788,999.06 = 788,999.06 : x
  2. Step 2: Convert to fraction form
    523,265.06/788,999.06 = 788,999.06/x
  3. Step 3: Cross multiply
    523,265.06x = 788,999.06 × 788,999.06
  4. Step 4: Simplify right side
    523,265.06x = 622,519,520,625.88
  5. Step 5: Solve for x
    x = 622,519,520,625.88/523,265.06
  6. Step 6: Final answer
    x = 1,189,682.95

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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.