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Finding the Third Proportional to 254,738 and 553,701

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Solution

The third proportional to 254,738 and 553,701 is: 1,203,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,738 : 553,701 = 553,701 : x
  2. Step 2: Convert to fraction form
    254,738/553,701 = 553,701/x
  3. Step 3: Cross multiply
    254,738x = 553,701 × 553,701
  4. Step 4: Simplify right side
    254,738x = 306,584,797,401
  5. Step 5: Solve for x
    x = 306,584,797,401/254,738
  6. Step 6: Final answer
    x = 1,203,529.89

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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.