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Finding the Third Proportional to 362,571 and 785,406

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Solution

The third proportional to 362,571 and 785,406 is: 1,701,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,571 : 785,406 = 785,406 : x
  2. Step 2: Convert to fraction form
    362,571/785,406 = 785,406/x
  3. Step 3: Cross multiply
    362,571x = 785,406 × 785,406
  4. Step 4: Simplify right side
    362,571x = 616,862,584,836
  5. Step 5: Solve for x
    x = 616,862,584,836/362,571
  6. Step 6: Final answer
    x = 1,701,356.66

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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.