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Finding the Third Proportional to 254,134 and 552,534.50

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Solution

The third proportional to 254,134 and 552,534.50 is: 1,201,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,134 : 552,534.50 = 552,534.50 : x
  2. Step 2: Convert to fraction form
    254,134/552,534.50 = 552,534.50/x
  3. Step 3: Cross multiply
    254,134x = 552,534.50 × 552,534.50
  4. Step 4: Simplify right side
    254,134x = 305,294,373,690.25
  5. Step 5: Solve for x
    x = 305,294,373,690.25/254,134
  6. Step 6: Final answer
    x = 1,201,312.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.