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Finding the Third Proportional to 367,534 and 791,368

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Solution

The third proportional to 367,534 and 791,368 is: 1,703,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,534 : 791,368 = 791,368 : x
  2. Step 2: Convert to fraction form
    367,534/791,368 = 791,368/x
  3. Step 3: Cross multiply
    367,534x = 791,368 × 791,368
  4. Step 4: Simplify right side
    367,534x = 626,263,311,424
  5. Step 5: Solve for x
    x = 626,263,311,424/367,534
  6. Step 6: Final answer
    x = 1,703,960.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.