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Finding the Third Proportional to 523,990 and 785,175

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Solution

The third proportional to 523,990 and 785,175 is: 1,176,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,990 : 785,175 = 785,175 : x
  2. Step 2: Convert to fraction form
    523,990/785,175 = 785,175/x
  3. Step 3: Cross multiply
    523,990x = 785,175 × 785,175
  4. Step 4: Simplify right side
    523,990x = 616,499,780,625
  5. Step 5: Solve for x
    x = 616,499,780,625/523,990
  6. Step 6: Final answer
    x = 1,176,548.75

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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.