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Finding the Third Proportional to 322,924.22 and 697,516.31

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Solution

The third proportional to 322,924.22 and 697,516.31 is: 1,506,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,924.22 : 697,516.31 = 697,516.31 : x
  2. Step 2: Convert to fraction form
    322,924.22/697,516.31 = 697,516.31/x
  3. Step 3: Cross multiply
    322,924.22x = 697,516.31 × 697,516.31
  4. Step 4: Simplify right side
    322,924.22x = 486,529,006,203.60
  5. Step 5: Solve for x
    x = 486,529,006,203.60/322,924.22
  6. Step 6: Final answer
    x = 1,506,635.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.