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Finding the Third Proportional to 590,764 and 885,930

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Solution

The third proportional to 590,764 and 885,930 is: 1,328,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,764 : 885,930 = 885,930 : x
  2. Step 2: Convert to fraction form
    590,764/885,930 = 885,930/x
  3. Step 3: Cross multiply
    590,764x = 885,930 × 885,930
  4. Step 4: Simplify right side
    590,764x = 784,871,964,900
  5. Step 5: Solve for x
    x = 784,871,964,900/590,764
  6. Step 6: Final answer
    x = 1,328,571.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.