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Finding the Third Proportional to 355,671 and 533,520

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Solution

The third proportional to 355,671 and 533,520 is: 800,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,671 : 533,520 = 533,520 : x
  2. Step 2: Convert to fraction form
    355,671/533,520 = 533,520/x
  3. Step 3: Cross multiply
    355,671x = 533,520 × 533,520
  4. Step 4: Simplify right side
    355,671x = 284,643,590,400
  5. Step 5: Solve for x
    x = 284,643,590,400/355,671
  6. Step 6: Final answer
    x = 800,300.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.