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Finding the Third Proportional to 228,787 and 534,453

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Solution

The third proportional to 228,787 and 534,453 is: 1,248,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,787 : 534,453 = 534,453 : x
  2. Step 2: Convert to fraction form
    228,787/534,453 = 534,453/x
  3. Step 3: Cross multiply
    228,787x = 534,453 × 534,453
  4. Step 4: Simplify right side
    228,787x = 285,640,009,209
  5. Step 5: Solve for x
    x = 285,640,009,209/228,787
  6. Step 6: Final answer
    x = 1,248,497.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.