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Finding the Third Proportional to 254,145 and 552,564

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Solution

The third proportional to 254,145 and 552,564 is: 1,201,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,145 : 552,564 = 552,564 : x
  2. Step 2: Convert to fraction form
    254,145/552,564 = 552,564/x
  3. Step 3: Cross multiply
    254,145x = 552,564 × 552,564
  4. Step 4: Simplify right side
    254,145x = 305,326,974,096
  5. Step 5: Solve for x
    x = 305,326,974,096/254,145
  6. Step 6: Final answer
    x = 1,201,388.87

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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.