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Finding the Third Proportional to 258,066 and 534,274.50

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Solution

The third proportional to 258,066 and 534,274.50 is: 1,106,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,066 : 534,274.50 = 534,274.50 : x
  2. Step 2: Convert to fraction form
    258,066/534,274.50 = 534,274.50/x
  3. Step 3: Cross multiply
    258,066x = 534,274.50 × 534,274.50
  4. Step 4: Simplify right side
    258,066x = 285,449,241,350.25
  5. Step 5: Solve for x
    x = 285,449,241,350.25/258,066
  6. Step 6: Final answer
    x = 1,106,109.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.