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Finding the Third Proportional to 334,207.69 and 695,953.69

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Solution

The third proportional to 334,207.69 and 695,953.69 is: 1,449,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,207.69 : 695,953.69 = 695,953.69 : x
  2. Step 2: Convert to fraction form
    334,207.69/695,953.69 = 695,953.69/x
  3. Step 3: Cross multiply
    334,207.69x = 695,953.69 × 695,953.69
  4. Step 4: Simplify right side
    334,207.69x = 484,351,535,144.85
  5. Step 5: Solve for x
    x = 484,351,535,144.85/334,207.69
  6. Step 6: Final answer
    x = 1,449,253.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.