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Finding the Third Proportional to 362,601 and 785,466

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Solution

The third proportional to 362,601 and 785,466 is: 1,701,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,601 : 785,466 = 785,466 : x
  2. Step 2: Convert to fraction form
    362,601/785,466 = 785,466/x
  3. Step 3: Cross multiply
    362,601x = 785,466 × 785,466
  4. Step 4: Simplify right side
    362,601x = 616,956,837,156
  5. Step 5: Solve for x
    x = 616,956,837,156/362,601
  6. Step 6: Final answer
    x = 1,701,475.83

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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.