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Finding the Third Proportional to 462,996.75 and 695,727

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Solution

The third proportional to 462,996.75 and 695,727 is: 1,045,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,996.75 : 695,727 = 695,727 : x
  2. Step 2: Convert to fraction form
    462,996.75/695,727 = 695,727/x
  3. Step 3: Cross multiply
    462,996.75x = 695,727 × 695,727
  4. Step 4: Simplify right side
    462,996.75x = 484,036,058,529
  5. Step 5: Solve for x
    x = 484,036,058,529/462,996.75
  6. Step 6: Final answer
    x = 1,045,441.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.