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Finding the Third Proportional to 281,314 and 603,270

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Solution

The third proportional to 281,314 and 603,270 is: 1,293,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,314 : 603,270 = 603,270 : x
  2. Step 2: Convert to fraction form
    281,314/603,270 = 603,270/x
  3. Step 3: Cross multiply
    281,314x = 603,270 × 603,270
  4. Step 4: Simplify right side
    281,314x = 363,934,692,900
  5. Step 5: Solve for x
    x = 363,934,692,900/281,314
  6. Step 6: Final answer
    x = 1,293,695.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.