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Finding the Third Proportional to 362,246 and 786,761

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Solution

The third proportional to 362,246 and 786,761 is: 1,708,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,246 : 786,761 = 786,761 : x
  2. Step 2: Convert to fraction form
    362,246/786,761 = 786,761/x
  3. Step 3: Cross multiply
    362,246x = 786,761 × 786,761
  4. Step 4: Simplify right side
    362,246x = 618,992,871,121
  5. Step 5: Solve for x
    x = 618,992,871,121/362,246
  6. Step 6: Final answer
    x = 1,708,763.85

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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.