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Finding the Third Proportional to 262,737 and 407,664

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Solution

The third proportional to 262,737 and 407,664 is: 632,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,737 : 407,664 = 407,664 : x
  2. Step 2: Convert to fraction form
    262,737/407,664 = 407,664/x
  3. Step 3: Cross multiply
    262,737x = 407,664 × 407,664
  4. Step 4: Simplify right side
    262,737x = 166,189,936,896
  5. Step 5: Solve for x
    x = 166,189,936,896/262,737
  6. Step 6: Final answer
    x = 632,533.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.