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Finding the Third Proportional to 366,973 and 788,199

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Solution

The third proportional to 366,973 and 788,199 is: 1,692,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,973 : 788,199 = 788,199 : x
  2. Step 2: Convert to fraction form
    366,973/788,199 = 788,199/x
  3. Step 3: Cross multiply
    366,973x = 788,199 × 788,199
  4. Step 4: Simplify right side
    366,973x = 621,257,663,601
  5. Step 5: Solve for x
    x = 621,257,663,601/366,973
  6. Step 6: Final answer
    x = 1,692,924.72

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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.