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Finding the Third Proportional to 368,068 and 794,132

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Solution

The third proportional to 368,068 and 794,132 is: 1,713,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,068 : 794,132 = 794,132 : x
  2. Step 2: Convert to fraction form
    368,068/794,132 = 794,132/x
  3. Step 3: Cross multiply
    368,068x = 794,132 × 794,132
  4. Step 4: Simplify right side
    368,068x = 630,645,633,424
  5. Step 5: Solve for x
    x = 630,645,633,424/368,068
  6. Step 6: Final answer
    x = 1,713,394.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.