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Finding the Third Proportional to 581,620.50 and 837,712.13

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Solution

The third proportional to 581,620.50 and 837,712.13 is: 1,206,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,620.50 : 837,712.13 = 837,712.13 : x
  2. Step 2: Convert to fraction form
    581,620.50/837,712.13 = 837,712.13/x
  3. Step 3: Cross multiply
    581,620.50x = 837,712.13 × 837,712.13
  4. Step 4: Simplify right side
    581,620.50x = 701,761,604,372.02
  5. Step 5: Solve for x
    x = 701,761,604,372.02/581,620.50
  6. Step 6: Final answer
    x = 1,206,562.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.