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Finding the Third Proportional to 264,906 and 567,696

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Solution

The third proportional to 264,906 and 567,696 is: 1,216,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 567,696 = 567,696 : x
  2. Step 2: Convert to fraction form
    264,906/567,696 = 567,696/x
  3. Step 3: Cross multiply
    264,906x = 567,696 × 567,696
  4. Step 4: Simplify right side
    264,906x = 322,278,748,416
  5. Step 5: Solve for x
    x = 322,278,748,416/264,906
  6. Step 6: Final answer
    x = 1,216,577.76

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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.