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Finding the Third Proportional to 254,722 and 553,684

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Solution

The third proportional to 254,722 and 553,684 is: 1,203,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,722 : 553,684 = 553,684 : x
  2. Step 2: Convert to fraction form
    254,722/553,684 = 553,684/x
  3. Step 3: Cross multiply
    254,722x = 553,684 × 553,684
  4. Step 4: Simplify right side
    254,722x = 306,565,971,856
  5. Step 5: Solve for x
    x = 306,565,971,856/254,722
  6. Step 6: Final answer
    x = 1,203,531.58

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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.