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Finding the Third Proportional to 264,796 and 567,496

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Solution

The third proportional to 264,796 and 567,496 is: 1,216,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,796 : 567,496 = 567,496 : x
  2. Step 2: Convert to fraction form
    264,796/567,496 = 567,496/x
  3. Step 3: Cross multiply
    264,796x = 567,496 × 567,496
  4. Step 4: Simplify right side
    264,796x = 322,051,710,016
  5. Step 5: Solve for x
    x = 322,051,710,016/264,796
  6. Step 6: Final answer
    x = 1,216,225.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.