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Finding the Third Proportional to 264,192 and 554,496

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Solution

The third proportional to 264,192 and 554,496 is: 1,163,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,192 : 554,496 = 554,496 : x
  2. Step 2: Convert to fraction form
    264,192/554,496 = 554,496/x
  3. Step 3: Cross multiply
    264,192x = 554,496 × 554,496
  4. Step 4: Simplify right side
    264,192x = 307,465,814,016
  5. Step 5: Solve for x
    x = 307,465,814,016/264,192
  6. Step 6: Final answer
    x = 1,163,796.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.