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Finding the Third Proportional to 265,612 and 575,504

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Solution

The third proportional to 265,612 and 575,504 is: 1,246,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,612 : 575,504 = 575,504 : x
  2. Step 2: Convert to fraction form
    265,612/575,504 = 575,504/x
  3. Step 3: Cross multiply
    265,612x = 575,504 × 575,504
  4. Step 4: Simplify right side
    265,612x = 331,204,854,016
  5. Step 5: Solve for x
    x = 331,204,854,016/265,612
  6. Step 6: Final answer
    x = 1,246,949.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.