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Finding the Third Proportional to 265,198 and 572,759

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Solution

The third proportional to 265,198 and 572,759 is: 1,237,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,198 : 572,759 = 572,759 : x
  2. Step 2: Convert to fraction form
    265,198/572,759 = 572,759/x
  3. Step 3: Cross multiply
    265,198x = 572,759 × 572,759
  4. Step 4: Simplify right side
    265,198x = 328,052,872,081
  5. Step 5: Solve for x
    x = 328,052,872,081/265,198
  6. Step 6: Final answer
    x = 1,237,011.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.