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Finding the Third Proportional to 281,977.50 and 436,902

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Solution

The third proportional to 281,977.50 and 436,902 is: 676,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,977.50 : 436,902 = 436,902 : x
  2. Step 2: Convert to fraction form
    281,977.50/436,902 = 436,902/x
  3. Step 3: Cross multiply
    281,977.50x = 436,902 × 436,902
  4. Step 4: Simplify right side
    281,977.50x = 190,883,357,604
  5. Step 5: Solve for x
    x = 190,883,357,604/281,977.50
  6. Step 6: Final answer
    x = 676,945.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.