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Finding the Third Proportional to 344,224 and 745,635

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Solution

The third proportional to 344,224 and 745,635 is: 1,615,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,224 : 745,635 = 745,635 : x
  2. Step 2: Convert to fraction form
    344,224/745,635 = 745,635/x
  3. Step 3: Cross multiply
    344,224x = 745,635 × 745,635
  4. Step 4: Simplify right side
    344,224x = 555,971,553,225
  5. Step 5: Solve for x
    x = 555,971,553,225/344,224
  6. Step 6: Final answer
    x = 1,615,144.65

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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.