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Finding the Third Proportional to 323,895.38 and 668,536.69

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Solution

The third proportional to 323,895.38 and 668,536.69 is: 1,379,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,895.38 : 668,536.69 = 668,536.69 : x
  2. Step 2: Convert to fraction form
    323,895.38/668,536.69 = 668,536.69/x
  3. Step 3: Cross multiply
    323,895.38x = 668,536.69 × 668,536.69
  4. Step 4: Simplify right side
    323,895.38x = 446,941,302,533.47
  5. Step 5: Solve for x
    x = 446,941,302,533.47/323,895.38
  6. Step 6: Final answer
    x = 1,379,894.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.