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Finding the Third Proportional to 362,212 and 786,692

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Solution

The third proportional to 362,212 and 786,692 is: 1,708,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,212 : 786,692 = 786,692 : x
  2. Step 2: Convert to fraction form
    362,212/786,692 = 786,692/x
  3. Step 3: Cross multiply
    362,212x = 786,692 × 786,692
  4. Step 4: Simplify right side
    362,212x = 618,884,302,864
  5. Step 5: Solve for x
    x = 618,884,302,864/362,212
  6. Step 6: Final answer
    x = 1,708,624.52

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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.