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Finding the Third Proportional to 307,764 and 463,671

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Solution

The third proportional to 307,764 and 463,671 is: 698,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764 : 463,671 = 463,671 : x
  2. Step 2: Convert to fraction form
    307,764/463,671 = 463,671/x
  3. Step 3: Cross multiply
    307,764x = 463,671 × 463,671
  4. Step 4: Simplify right side
    307,764x = 214,990,796,241
  5. Step 5: Solve for x
    x = 214,990,796,241/307,764
  6. Step 6: Final answer
    x = 698,557.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.