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Finding the Third Proportional to 525,344.06 and 788,013.56

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Solution

The third proportional to 525,344.06 and 788,013.56 is: 1,182,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,344.06 : 788,013.56 = 788,013.56 : x
  2. Step 2: Convert to fraction form
    525,344.06/788,013.56 = 788,013.56/x
  3. Step 3: Cross multiply
    525,344.06x = 788,013.56 × 788,013.56
  4. Step 4: Simplify right side
    525,344.06x = 620,965,374,683.94
  5. Step 5: Solve for x
    x = 620,965,374,683.94/525,344.06
  6. Step 6: Final answer
    x = 1,182,016.55

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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.