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Finding the Third Proportional to 344,264 and 745,723

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Solution

The third proportional to 344,264 and 745,723 is: 1,615,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,264 : 745,723 = 745,723 : x
  2. Step 2: Convert to fraction form
    344,264/745,723 = 745,723/x
  3. Step 3: Cross multiply
    344,264x = 745,723 × 745,723
  4. Step 4: Simplify right side
    344,264x = 556,102,792,729
  5. Step 5: Solve for x
    x = 556,102,792,729/344,264
  6. Step 6: Final answer
    x = 1,615,338.21

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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.