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Finding the Third Proportional to 412,969.50 and 625,170

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Solution

The third proportional to 412,969.50 and 625,170 is: 946,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,969.50 : 625,170 = 625,170 : x
  2. Step 2: Convert to fraction form
    412,969.50/625,170 = 625,170/x
  3. Step 3: Cross multiply
    412,969.50x = 625,170 × 625,170
  4. Step 4: Simplify right side
    412,969.50x = 390,837,528,900
  5. Step 5: Solve for x
    x = 390,837,528,900/412,969.50
  6. Step 6: Final answer
    x = 946,407.73

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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.