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Finding the Third Proportional to 344,236 and 745,656

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Solution

The third proportional to 344,236 and 745,656 is: 1,615,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,236 : 745,656 = 745,656 : x
  2. Step 2: Convert to fraction form
    344,236/745,656 = 745,656/x
  3. Step 3: Cross multiply
    344,236x = 745,656 × 745,656
  4. Step 4: Simplify right side
    344,236x = 556,002,870,336
  5. Step 5: Solve for x
    x = 556,002,870,336/344,236
  6. Step 6: Final answer
    x = 1,615,179.33

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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.