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Finding the Third Proportional to 281,277 and 606,534

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Solution

The third proportional to 281,277 and 606,534 is: 1,307,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,277 : 606,534 = 606,534 : x
  2. Step 2: Convert to fraction form
    281,277/606,534 = 606,534/x
  3. Step 3: Cross multiply
    281,277x = 606,534 × 606,534
  4. Step 4: Simplify right side
    281,277x = 367,883,493,156
  5. Step 5: Solve for x
    x = 367,883,493,156/281,277
  6. Step 6: Final answer
    x = 1,307,904.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.