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Finding the Third Proportional to 254,317 and 552,332

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Solution

The third proportional to 254,317 and 552,332 is: 1,199,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,317 : 552,332 = 552,332 : x
  2. Step 2: Convert to fraction form
    254,317/552,332 = 552,332/x
  3. Step 3: Cross multiply
    254,317x = 552,332 × 552,332
  4. Step 4: Simplify right side
    254,317x = 305,070,638,224
  5. Step 5: Solve for x
    x = 305,070,638,224/254,317
  6. Step 6: Final answer
    x = 1,199,568.41

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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.