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Finding the Third Proportional to 362,214 and 786,658.50

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Solution

The third proportional to 362,214 and 786,658.50 is: 1,708,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,214 : 786,658.50 = 786,658.50 : x
  2. Step 2: Convert to fraction form
    362,214/786,658.50 = 786,658.50/x
  3. Step 3: Cross multiply
    362,214x = 786,658.50 × 786,658.50
  4. Step 4: Simplify right side
    362,214x = 618,831,595,622.25
  5. Step 5: Solve for x
    x = 618,831,595,622.25/362,214
  6. Step 6: Final answer
    x = 1,708,469.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.