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Finding the Third Proportional to 371,735 and 791,422

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Solution

The third proportional to 371,735 and 791,422 is: 1,684,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,735 : 791,422 = 791,422 : x
  2. Step 2: Convert to fraction form
    371,735/791,422 = 791,422/x
  3. Step 3: Cross multiply
    371,735x = 791,422 × 791,422
  4. Step 4: Simplify right side
    371,735x = 626,348,782,084
  5. Step 5: Solve for x
    x = 626,348,782,084/371,735
  6. Step 6: Final answer
    x = 1,684,933.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.