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Finding the Third Proportional to 285,116.50 and 662,967

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Solution

The third proportional to 285,116.50 and 662,967 is: 1,541,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,116.50 : 662,967 = 662,967 : x
  2. Step 2: Convert to fraction form
    285,116.50/662,967 = 662,967/x
  3. Step 3: Cross multiply
    285,116.50x = 662,967 × 662,967
  4. Step 4: Simplify right side
    285,116.50x = 439,525,243,089
  5. Step 5: Solve for x
    x = 439,525,243,089/285,116.50
  6. Step 6: Final answer
    x = 1,541,563.69

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.