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Finding the Third Proportional to 275,484 and 592,980

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Solution

The third proportional to 275,484 and 592,980 is: 1,276,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,484 : 592,980 = 592,980 : x
  2. Step 2: Convert to fraction form
    275,484/592,980 = 592,980/x
  3. Step 3: Cross multiply
    275,484x = 592,980 × 592,980
  4. Step 4: Simplify right side
    275,484x = 351,625,280,400
  5. Step 5: Solve for x
    x = 351,625,280,400/275,484
  6. Step 6: Final answer
    x = 1,276,390.94

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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.