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Finding the Third Proportional to 366,944 and 788,140

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Solution

The third proportional to 366,944 and 788,140 is: 1,692,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944 : 788,140 = 788,140 : x
  2. Step 2: Convert to fraction form
    366,944/788,140 = 788,140/x
  3. Step 3: Cross multiply
    366,944x = 788,140 × 788,140
  4. Step 4: Simplify right side
    366,944x = 621,164,659,600
  5. Step 5: Solve for x
    x = 621,164,659,600/366,944
  6. Step 6: Final answer
    x = 1,692,805.06

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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.