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Finding the Third Proportional to 553,264 and 854,451

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Solution

The third proportional to 553,264 and 854,451 is: 1,319,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,264 : 854,451 = 854,451 : x
  2. Step 2: Convert to fraction form
    553,264/854,451 = 854,451/x
  3. Step 3: Cross multiply
    553,264x = 854,451 × 854,451
  4. Step 4: Simplify right side
    553,264x = 730,086,511,401
  5. Step 5: Solve for x
    x = 730,086,511,401/553,264
  6. Step 6: Final answer
    x = 1,319,598.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.