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Finding the Third Proportional to 366,950 and 788,154

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Solution

The third proportional to 366,950 and 788,154 is: 1,692,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950 : 788,154 = 788,154 : x
  2. Step 2: Convert to fraction form
    366,950/788,154 = 788,154/x
  3. Step 3: Cross multiply
    366,950x = 788,154 × 788,154
  4. Step 4: Simplify right side
    366,950x = 621,186,727,716
  5. Step 5: Solve for x
    x = 621,186,727,716/366,950
  6. Step 6: Final answer
    x = 1,692,837.52

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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.