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Finding the Third Proportional to 366,587 and 766,692

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Solution

The third proportional to 366,587 and 766,692 is: 1,603,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,587 : 766,692 = 766,692 : x
  2. Step 2: Convert to fraction form
    366,587/766,692 = 766,692/x
  3. Step 3: Cross multiply
    366,587x = 766,692 × 766,692
  4. Step 4: Simplify right side
    366,587x = 587,816,622,864
  5. Step 5: Solve for x
    x = 587,816,622,864/366,587
  6. Step 6: Final answer
    x = 1,603,484.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.