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Finding the Third Proportional to 362,608 and 777,708

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Solution

The third proportional to 362,608 and 777,708 is: 1,667,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,608 : 777,708 = 777,708 : x
  2. Step 2: Convert to fraction form
    362,608/777,708 = 777,708/x
  3. Step 3: Cross multiply
    362,608x = 777,708 × 777,708
  4. Step 4: Simplify right side
    362,608x = 604,829,733,264
  5. Step 5: Solve for x
    x = 604,829,733,264/362,608
  6. Step 6: Final answer
    x = 1,667,998.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.