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Finding the Third Proportional to 362,186 and 786,700

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Solution

The third proportional to 362,186 and 786,700 is: 1,708,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,186 : 786,700 = 786,700 : x
  2. Step 2: Convert to fraction form
    362,186/786,700 = 786,700/x
  3. Step 3: Cross multiply
    362,186x = 786,700 × 786,700
  4. Step 4: Simplify right side
    362,186x = 618,896,890,000
  5. Step 5: Solve for x
    x = 618,896,890,000/362,186
  6. Step 6: Final answer
    x = 1,708,781.92

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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.