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Finding the Third Proportional to 366,909 and 788,073

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Solution

The third proportional to 366,909 and 788,073 is: 1,692,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,909 : 788,073 = 788,073 : x
  2. Step 2: Convert to fraction form
    366,909/788,073 = 788,073/x
  3. Step 3: Cross multiply
    366,909x = 788,073 × 788,073
  4. Step 4: Simplify right side
    366,909x = 621,059,053,329
  5. Step 5: Solve for x
    x = 621,059,053,329/366,909
  6. Step 6: Final answer
    x = 1,692,678.71

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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.