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Finding the Third Proportional to 577,975.50 and 767,029.50

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Solution

The third proportional to 577,975.50 and 767,029.50 is: 1,017,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,975.50 : 767,029.50 = 767,029.50 : x
  2. Step 2: Convert to fraction form
    577,975.50/767,029.50 = 767,029.50/x
  3. Step 3: Cross multiply
    577,975.50x = 767,029.50 × 767,029.50
  4. Step 4: Simplify right side
    577,975.50x = 588,334,253,870.25
  5. Step 5: Solve for x
    x = 588,334,253,870.25/577,975.50
  6. Step 6: Final answer
    x = 1,017,922.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.