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Finding the Third Proportional to 258,858 and 530,259.75

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Solution

The third proportional to 258,858 and 530,259.75 is: 1,086,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,858 : 530,259.75 = 530,259.75 : x
  2. Step 2: Convert to fraction form
    258,858/530,259.75 = 530,259.75/x
  3. Step 3: Cross multiply
    258,858x = 530,259.75 × 530,259.75
  4. Step 4: Simplify right side
    258,858x = 281,175,402,470.06
  5. Step 5: Solve for x
    x = 281,175,402,470.06/258,858
  6. Step 6: Final answer
    x = 1,086,214.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.