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Finding the Third Proportional to 371,923 and 805,648

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Solution

The third proportional to 371,923 and 805,648 is: 1,745,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,923 : 805,648 = 805,648 : x
  2. Step 2: Convert to fraction form
    371,923/805,648 = 805,648/x
  3. Step 3: Cross multiply
    371,923x = 805,648 × 805,648
  4. Step 4: Simplify right side
    371,923x = 649,068,699,904
  5. Step 5: Solve for x
    x = 649,068,699,904/371,923
  6. Step 6: Final answer
    x = 1,745,169.56

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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.