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Finding the Third Proportional to 362,580 and 785,422

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Solution

The third proportional to 362,580 and 785,422 is: 1,701,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,580 : 785,422 = 785,422 : x
  2. Step 2: Convert to fraction form
    362,580/785,422 = 785,422/x
  3. Step 3: Cross multiply
    362,580x = 785,422 × 785,422
  4. Step 4: Simplify right side
    362,580x = 616,887,718,084
  5. Step 5: Solve for x
    x = 616,887,718,084/362,580
  6. Step 6: Final answer
    x = 1,701,383.74

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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.