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Finding the Third Proportional to 285,840 and 445,081.50

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Solution

The third proportional to 285,840 and 445,081.50 is: 693,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840 : 445,081.50 = 445,081.50 : x
  2. Step 2: Convert to fraction form
    285,840/445,081.50 = 445,081.50/x
  3. Step 3: Cross multiply
    285,840x = 445,081.50 × 445,081.50
  4. Step 4: Simplify right side
    285,840x = 198,097,541,642.25
  5. Step 5: Solve for x
    x = 198,097,541,642.25/285,840
  6. Step 6: Final answer
    x = 693,036.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.