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Finding the Third Proportional to 281,113 and 449,614

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Solution

The third proportional to 281,113 and 449,614 is: 719,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,113 : 449,614 = 449,614 : x
  2. Step 2: Convert to fraction form
    281,113/449,614 = 449,614/x
  3. Step 3: Cross multiply
    281,113x = 449,614 × 449,614
  4. Step 4: Simplify right side
    281,113x = 202,152,748,996
  5. Step 5: Solve for x
    x = 202,152,748,996/281,113
  6. Step 6: Final answer
    x = 719,115.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.