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Finding the Third Proportional to 348,716 and 756,184

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Solution

The third proportional to 348,716 and 756,184 is: 1,639,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,716 : 756,184 = 756,184 : x
  2. Step 2: Convert to fraction form
    348,716/756,184 = 756,184/x
  3. Step 3: Cross multiply
    348,716x = 756,184 × 756,184
  4. Step 4: Simplify right side
    348,716x = 571,814,241,856
  5. Step 5: Solve for x
    x = 571,814,241,856/348,716
  6. Step 6: Final answer
    x = 1,639,770.59

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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.