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Finding the Third Proportional to 254,427 and 552,594

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Solution

The third proportional to 254,427 and 552,594 is: 1,200,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,427 : 552,594 = 552,594 : x
  2. Step 2: Convert to fraction form
    254,427/552,594 = 552,594/x
  3. Step 3: Cross multiply
    254,427x = 552,594 × 552,594
  4. Step 4: Simplify right side
    254,427x = 305,360,128,836
  5. Step 5: Solve for x
    x = 305,360,128,836/254,427
  6. Step 6: Final answer
    x = 1,200,187.59

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Why These Related Problems?

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