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Finding the Third Proportional to 265,032 and 576,720

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Solution

The third proportional to 265,032 and 576,720 is: 1,254,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,032 : 576,720 = 576,720 : x
  2. Step 2: Convert to fraction form
    265,032/576,720 = 576,720/x
  3. Step 3: Cross multiply
    265,032x = 576,720 × 576,720
  4. Step 4: Simplify right side
    265,032x = 332,605,958,400
  5. Step 5: Solve for x
    x = 332,605,958,400/265,032
  6. Step 6: Final answer
    x = 1,254,965.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.