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Finding the Third Proportional to 366,925 and 773,747

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Solution

The third proportional to 366,925 and 773,747 is: 1,631,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,925 : 773,747 = 773,747 : x
  2. Step 2: Convert to fraction form
    366,925/773,747 = 773,747/x
  3. Step 3: Cross multiply
    366,925x = 773,747 × 773,747
  4. Step 4: Simplify right side
    366,925x = 598,684,420,009
  5. Step 5: Solve for x
    x = 598,684,420,009/366,925
  6. Step 6: Final answer
    x = 1,631,626.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.