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Finding the Third Proportional to 281,232 and 452,889

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Solution

The third proportional to 281,232 and 452,889 is: 729,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,232 : 452,889 = 452,889 : x
  2. Step 2: Convert to fraction form
    281,232/452,889 = 452,889/x
  3. Step 3: Cross multiply
    281,232x = 452,889 × 452,889
  4. Step 4: Simplify right side
    281,232x = 205,108,446,321
  5. Step 5: Solve for x
    x = 205,108,446,321/281,232
  6. Step 6: Final answer
    x = 729,321.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.