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Finding the Third Proportional to 366,946 and 788,144

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Solution

The third proportional to 366,946 and 788,144 is: 1,692,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 788,144 = 788,144 : x
  2. Step 2: Convert to fraction form
    366,946/788,144 = 788,144/x
  3. Step 3: Cross multiply
    366,946x = 788,144 × 788,144
  4. Step 4: Simplify right side
    366,946x = 621,170,964,736
  5. Step 5: Solve for x
    x = 621,170,964,736/366,946
  6. Step 6: Final answer
    x = 1,692,813.02

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