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Finding the Third Proportional to 344,816 and 531,760

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Solution

The third proportional to 344,816 and 531,760 is: 820,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,816 : 531,760 = 531,760 : x
  2. Step 2: Convert to fraction form
    344,816/531,760 = 531,760/x
  3. Step 3: Cross multiply
    344,816x = 531,760 × 531,760
  4. Step 4: Simplify right side
    344,816x = 282,768,697,600
  5. Step 5: Solve for x
    x = 282,768,697,600/344,816
  6. Step 6: Final answer
    x = 820,056.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.