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Finding the Third Proportional to 366,967 and 788,187

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Solution

The third proportional to 366,967 and 788,187 is: 1,692,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,967 : 788,187 = 788,187 : x
  2. Step 2: Convert to fraction form
    366,967/788,187 = 788,187/x
  3. Step 3: Cross multiply
    366,967x = 788,187 × 788,187
  4. Step 4: Simplify right side
    366,967x = 621,238,746,969
  5. Step 5: Solve for x
    x = 621,238,746,969/366,967
  6. Step 6: Final answer
    x = 1,692,900.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.