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Finding the Third Proportional to 371,744 and 791,440

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Solution

The third proportional to 371,744 and 791,440 is: 1,684,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,744 : 791,440 = 791,440 : x
  2. Step 2: Convert to fraction form
    371,744/791,440 = 791,440/x
  3. Step 3: Cross multiply
    371,744x = 791,440 × 791,440
  4. Step 4: Simplify right side
    371,744x = 626,377,273,600
  5. Step 5: Solve for x
    x = 626,377,273,600/371,744
  6. Step 6: Final answer
    x = 1,684,969.42

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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.