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Finding the Third Proportional to 261,994 and 534,980

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Solution

The third proportional to 261,994 and 534,980 is: 1,092,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,994 : 534,980 = 534,980 : x
  2. Step 2: Convert to fraction form
    261,994/534,980 = 534,980/x
  3. Step 3: Cross multiply
    261,994x = 534,980 × 534,980
  4. Step 4: Simplify right side
    261,994x = 286,203,600,400
  5. Step 5: Solve for x
    x = 286,203,600,400/261,994
  6. Step 6: Final answer
    x = 1,092,405.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.