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Finding the Third Proportional to 545,629 and 825,989.50

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Solution

The third proportional to 545,629 and 825,989.50 is: 1,250,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,629 : 825,989.50 = 825,989.50 : x
  2. Step 2: Convert to fraction form
    545,629/825,989.50 = 825,989.50/x
  3. Step 3: Cross multiply
    545,629x = 825,989.50 × 825,989.50
  4. Step 4: Simplify right side
    545,629x = 682,258,654,110.25
  5. Step 5: Solve for x
    x = 682,258,654,110.25/545,629
  6. Step 6: Final answer
    x = 1,250,407.61

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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.