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Finding the Third Proportional to 322,394.55 and 700,762.64

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Solution

The third proportional to 322,394.55 and 700,762.64 is: 1,523,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,394.55 : 700,762.64 = 700,762.64 : x
  2. Step 2: Convert to fraction form
    322,394.55/700,762.64 = 700,762.64/x
  3. Step 3: Cross multiply
    322,394.55x = 700,762.64 × 700,762.64
  4. Step 4: Simplify right side
    322,394.55x = 491,068,278,495.72
  5. Step 5: Solve for x
    x = 491,068,278,495.72/322,394.55
  6. Step 6: Final answer
    x = 1,523,190.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.