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Finding the Third Proportional to 254,724 and 553,668

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Solution

The third proportional to 254,724 and 553,668 is: 1,203,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,724 : 553,668 = 553,668 : x
  2. Step 2: Convert to fraction form
    254,724/553,668 = 553,668/x
  3. Step 3: Cross multiply
    254,724x = 553,668 × 553,668
  4. Step 4: Simplify right side
    254,724x = 306,548,254,224
  5. Step 5: Solve for x
    x = 306,548,254,224/254,724
  6. Step 6: Final answer
    x = 1,203,452.58

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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.