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Finding the Third Proportional to 467,961.75 and 695,058.75

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Solution

The third proportional to 467,961.75 and 695,058.75 is: 1,032,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,961.75 : 695,058.75 = 695,058.75 : x
  2. Step 2: Convert to fraction form
    467,961.75/695,058.75 = 695,058.75/x
  3. Step 3: Cross multiply
    467,961.75x = 695,058.75 × 695,058.75
  4. Step 4: Simplify right side
    467,961.75x = 483,106,665,951.56
  5. Step 5: Solve for x
    x = 483,106,665,951.56/467,961.75
  6. Step 6: Final answer
    x = 1,032,363.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.