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Finding the Third Proportional to 265,040 and 529,864

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Solution

The third proportional to 265,040 and 529,864 is: 1,059,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,040 : 529,864 = 529,864 : x
  2. Step 2: Convert to fraction form
    265,040/529,864 = 529,864/x
  3. Step 3: Cross multiply
    265,040x = 529,864 × 529,864
  4. Step 4: Simplify right side
    265,040x = 280,755,858,496
  5. Step 5: Solve for x
    x = 280,755,858,496/265,040
  6. Step 6: Final answer
    x = 1,059,296.18

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.