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Finding the Third Proportional to 355,176 and 536,446

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Solution

The third proportional to 355,176 and 536,446 is: 810,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,176 : 536,446 = 536,446 : x
  2. Step 2: Convert to fraction form
    355,176/536,446 = 536,446/x
  3. Step 3: Cross multiply
    355,176x = 536,446 × 536,446
  4. Step 4: Simplify right side
    355,176x = 287,774,310,916
  5. Step 5: Solve for x
    x = 287,774,310,916/355,176
  6. Step 6: Final answer
    x = 810,230.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.