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Finding the Third Proportional to 361,598 and 535,017

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Solution

The third proportional to 361,598 and 535,017 is: 791,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,598 : 535,017 = 535,017 : x
  2. Step 2: Convert to fraction form
    361,598/535,017 = 535,017/x
  3. Step 3: Cross multiply
    361,598x = 535,017 × 535,017
  4. Step 4: Simplify right side
    361,598x = 286,243,190,289
  5. Step 5: Solve for x
    x = 286,243,190,289/361,598
  6. Step 6: Final answer
    x = 791,606.12

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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.