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Finding the Third Proportional to 265,042 and 529,868

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Solution

The third proportional to 265,042 and 529,868 is: 1,059,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,042 : 529,868 = 529,868 : x
  2. Step 2: Convert to fraction form
    265,042/529,868 = 529,868/x
  3. Step 3: Cross multiply
    265,042x = 529,868 × 529,868
  4. Step 4: Simplify right side
    265,042x = 280,760,097,424
  5. Step 5: Solve for x
    x = 280,760,097,424/265,042
  6. Step 6: Final answer
    x = 1,059,304.18

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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.