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Finding the Third Proportional to 345,051.75 and 523,785

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Solution

The third proportional to 345,051.75 and 523,785 is: 795,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,051.75 : 523,785 = 523,785 : x
  2. Step 2: Convert to fraction form
    345,051.75/523,785 = 523,785/x
  3. Step 3: Cross multiply
    345,051.75x = 523,785 × 523,785
  4. Step 4: Simplify right side
    345,051.75x = 274,350,726,225
  5. Step 5: Solve for x
    x = 274,350,726,225/345,051.75
  6. Step 6: Final answer
    x = 795,100.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.