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Finding the Third Proportional to 361,640 and 535,089

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Solution

The third proportional to 361,640 and 535,089 is: 791,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,640 : 535,089 = 535,089 : x
  2. Step 2: Convert to fraction form
    361,640/535,089 = 535,089/x
  3. Step 3: Cross multiply
    361,640x = 535,089 × 535,089
  4. Step 4: Simplify right side
    361,640x = 286,320,237,921
  5. Step 5: Solve for x
    x = 286,320,237,921/361,640
  6. Step 6: Final answer
    x = 791,727.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.