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Finding the Third Proportional to 254,160 and 552,582

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Solution

The third proportional to 254,160 and 552,582 is: 1,201,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,160 : 552,582 = 552,582 : x
  2. Step 2: Convert to fraction form
    254,160/552,582 = 552,582/x
  3. Step 3: Cross multiply
    254,160x = 552,582 × 552,582
  4. Step 4: Simplify right side
    254,160x = 305,346,866,724
  5. Step 5: Solve for x
    x = 305,346,866,724/254,160
  6. Step 6: Final answer
    x = 1,201,396.23

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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.