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Finding the Third Proportional to 599,166 and 842,767

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Solution

The third proportional to 599,166 and 842,767 is: 1,185,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,166 : 842,767 = 842,767 : x
  2. Step 2: Convert to fraction form
    599,166/842,767 = 842,767/x
  3. Step 3: Cross multiply
    599,166x = 842,767 × 842,767
  4. Step 4: Simplify right side
    599,166x = 710,256,216,289
  5. Step 5: Solve for x
    x = 710,256,216,289/599,166
  6. Step 6: Final answer
    x = 1,185,408.08

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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.