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Finding the Third Proportional to 361,317 and 536,735

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Solution

The third proportional to 361,317 and 536,735 is: 797,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,317 : 536,735 = 536,735 : x
  2. Step 2: Convert to fraction form
    361,317/536,735 = 536,735/x
  3. Step 3: Cross multiply
    361,317x = 536,735 × 536,735
  4. Step 4: Simplify right side
    361,317x = 288,084,460,225
  5. Step 5: Solve for x
    x = 288,084,460,225/361,317
  6. Step 6: Final answer
    x = 797,317.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.