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Finding the Third Proportional to 567,187 and 850,780

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Solution

The third proportional to 567,187 and 850,780 is: 1,276,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,187 : 850,780 = 850,780 : x
  2. Step 2: Convert to fraction form
    567,187/850,780 = 850,780/x
  3. Step 3: Cross multiply
    567,187x = 850,780 × 850,780
  4. Step 4: Simplify right side
    567,187x = 723,826,608,400
  5. Step 5: Solve for x
    x = 723,826,608,400/567,187
  6. Step 6: Final answer
    x = 1,276,169.25

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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.