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Finding the Third Proportional to 591,930 and 837,576

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Solution

The third proportional to 591,930 and 837,576 is: 1,185,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,930 : 837,576 = 837,576 : x
  2. Step 2: Convert to fraction form
    591,930/837,576 = 837,576/x
  3. Step 3: Cross multiply
    591,930x = 837,576 × 837,576
  4. Step 4: Simplify right side
    591,930x = 701,533,555,776
  5. Step 5: Solve for x
    x = 701,533,555,776/591,930
  6. Step 6: Final answer
    x = 1,185,163.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.