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Finding the Third Proportional to 275,487 and 592,986

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Solution

The third proportional to 275,487 and 592,986 is: 1,276,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,487 : 592,986 = 592,986 : x
  2. Step 2: Convert to fraction form
    275,487/592,986 = 592,986/x
  3. Step 3: Cross multiply
    275,487x = 592,986 × 592,986
  4. Step 4: Simplify right side
    275,487x = 351,632,396,196
  5. Step 5: Solve for x
    x = 351,632,396,196/275,487
  6. Step 6: Final answer
    x = 1,276,402.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.