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Finding the Third Proportional to 405,533 and 836,770

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Solution

The third proportional to 405,533 and 836,770 is: 1,726,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,533 : 836,770 = 836,770 : x
  2. Step 2: Convert to fraction form
    405,533/836,770 = 836,770/x
  3. Step 3: Cross multiply
    405,533x = 836,770 × 836,770
  4. Step 4: Simplify right side
    405,533x = 700,184,032,900
  5. Step 5: Solve for x
    x = 700,184,032,900/405,533
  6. Step 6: Final answer
    x = 1,726,577.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.