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Finding the Third Proportional to 322,974 and 462,317.63

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Solution

The third proportional to 322,974 and 462,317.63 is: 661,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,974 : 462,317.63 = 462,317.63 : x
  2. Step 2: Convert to fraction form
    322,974/462,317.63 = 462,317.63/x
  3. Step 3: Cross multiply
    322,974x = 462,317.63 × 462,317.63
  4. Step 4: Simplify right side
    322,974x = 213,737,586,385.64
  5. Step 5: Solve for x
    x = 213,737,586,385.64/322,974
  6. Step 6: Final answer
    x = 661,779.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.