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Finding the Third Proportional to 254,592 and 530,102.25

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Solution

The third proportional to 254,592 and 530,102.25 is: 1,103,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,592 : 530,102.25 = 530,102.25 : x
  2. Step 2: Convert to fraction form
    254,592/530,102.25 = 530,102.25/x
  3. Step 3: Cross multiply
    254,592x = 530,102.25 × 530,102.25
  4. Step 4: Simplify right side
    254,592x = 281,008,395,455.06
  5. Step 5: Solve for x
    x = 281,008,395,455.06/254,592
  6. Step 6: Final answer
    x = 1,103,759.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.