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Finding the Third Proportional to 322,974 and 695,306

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Solution

The third proportional to 322,974 and 695,306 is: 1,496,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,974 : 695,306 = 695,306 : x
  2. Step 2: Convert to fraction form
    322,974/695,306 = 695,306/x
  3. Step 3: Cross multiply
    322,974x = 695,306 × 695,306
  4. Step 4: Simplify right side
    322,974x = 483,450,433,636
  5. Step 5: Solve for x
    x = 483,450,433,636/322,974
  6. Step 6: Final answer
    x = 1,496,871.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.