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Finding the Third Proportional to 361,970 and 795,016

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Solution

The third proportional to 361,970 and 795,016 is: 1,746,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,970 : 795,016 = 795,016 : x
  2. Step 2: Convert to fraction form
    361,970/795,016 = 795,016/x
  3. Step 3: Cross multiply
    361,970x = 795,016 × 795,016
  4. Step 4: Simplify right side
    361,970x = 632,050,440,256
  5. Step 5: Solve for x
    x = 632,050,440,256/361,970
  6. Step 6: Final answer
    x = 1,746,140.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.