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Finding the Third Proportional to 344,866 and 532,063

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Solution

The third proportional to 344,866 and 532,063 is: 820,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,866 : 532,063 = 532,063 : x
  2. Step 2: Convert to fraction form
    344,866/532,063 = 532,063/x
  3. Step 3: Cross multiply
    344,866x = 532,063 × 532,063
  4. Step 4: Simplify right side
    344,866x = 283,091,035,969
  5. Step 5: Solve for x
    x = 283,091,035,969/344,866
  6. Step 6: Final answer
    x = 820,872.56

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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.