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Finding the Third Proportional to 254,376 and 552,490

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Solution

The third proportional to 254,376 and 552,490 is: 1,199,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,376 : 552,490 = 552,490 : x
  2. Step 2: Convert to fraction form
    254,376/552,490 = 552,490/x
  3. Step 3: Cross multiply
    254,376x = 552,490 × 552,490
  4. Step 4: Simplify right side
    254,376x = 305,245,200,100
  5. Step 5: Solve for x
    x = 305,245,200,100/254,376
  6. Step 6: Final answer
    x = 1,199,976.41

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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.