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Finding the Third Proportional to 324,670 and 711,606

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Solution

The third proportional to 324,670 and 711,606 is: 1,559,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,670 : 711,606 = 711,606 : x
  2. Step 2: Convert to fraction form
    324,670/711,606 = 711,606/x
  3. Step 3: Cross multiply
    324,670x = 711,606 × 711,606
  4. Step 4: Simplify right side
    324,670x = 506,383,099,236
  5. Step 5: Solve for x
    x = 506,383,099,236/324,670
  6. Step 6: Final answer
    x = 1,559,685.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.