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Finding the Third Proportional to 343,594.41 and 696,422.81

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Solution

The third proportional to 343,594.41 and 696,422.81 is: 1,411,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,594.41 : 696,422.81 = 696,422.81 : x
  2. Step 2: Convert to fraction form
    343,594.41/696,422.81 = 696,422.81/x
  3. Step 3: Cross multiply
    343,594.41x = 696,422.81 × 696,422.81
  4. Step 4: Simplify right side
    343,594.41x = 485,004,733,770.41
  5. Step 5: Solve for x
    x = 485,004,733,770.41/343,594.41
  6. Step 6: Final answer
    x = 1,411,561.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.