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Finding the Third Proportional to 377,676 and 805,896

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Solution

The third proportional to 377,676 and 805,896 is: 1,719,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,676 : 805,896 = 805,896 : x
  2. Step 2: Convert to fraction form
    377,676/805,896 = 805,896/x
  3. Step 3: Cross multiply
    377,676x = 805,896 × 805,896
  4. Step 4: Simplify right side
    377,676x = 649,468,362,816
  5. Step 5: Solve for x
    x = 649,468,362,816/377,676
  6. Step 6: Final answer
    x = 1,719,644.25

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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.