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Finding the Third Proportional to 281,754 and 611,271

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Solution

The third proportional to 281,754 and 611,271 is: 1,326,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,754 : 611,271 = 611,271 : x
  2. Step 2: Convert to fraction form
    281,754/611,271 = 611,271/x
  3. Step 3: Cross multiply
    281,754x = 611,271 × 611,271
  4. Step 4: Simplify right side
    281,754x = 373,652,235,441
  5. Step 5: Solve for x
    x = 373,652,235,441/281,754
  6. Step 6: Final answer
    x = 1,326,164.79

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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.