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Finding the Third Proportional to 272,322 and 598,401

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Solution

The third proportional to 272,322 and 598,401 is: 1,314,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,322 : 598,401 = 598,401 : x
  2. Step 2: Convert to fraction form
    272,322/598,401 = 598,401/x
  3. Step 3: Cross multiply
    272,322x = 598,401 × 598,401
  4. Step 4: Simplify right side
    272,322x = 358,083,756,801
  5. Step 5: Solve for x
    x = 358,083,756,801/272,322
  6. Step 6: Final answer
    x = 1,314,927.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.