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Finding the Third Proportional to 263,184 and 577,578

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Solution

The third proportional to 263,184 and 577,578 is: 1,267,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,184 : 577,578 = 577,578 : x
  2. Step 2: Convert to fraction form
    263,184/577,578 = 577,578/x
  3. Step 3: Cross multiply
    263,184x = 577,578 × 577,578
  4. Step 4: Simplify right side
    263,184x = 333,596,346,084
  5. Step 5: Solve for x
    x = 333,596,346,084/263,184
  6. Step 6: Final answer
    x = 1,267,540.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.