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Finding the Third Proportional to 254,460 and 552,660

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Solution

The third proportional to 254,460 and 552,660 is: 1,200,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,460 : 552,660 = 552,660 : x
  2. Step 2: Convert to fraction form
    254,460/552,660 = 552,660/x
  3. Step 3: Cross multiply
    254,460x = 552,660 × 552,660
  4. Step 4: Simplify right side
    254,460x = 305,433,075,600
  5. Step 5: Solve for x
    x = 305,433,075,600/254,460
  6. Step 6: Final answer
    x = 1,200,318.62

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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.