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Finding the Third Proportional to 284,977.50 and 444,719

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Solution

The third proportional to 284,977.50 and 444,719 is: 694,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,977.50 : 444,719 = 444,719 : x
  2. Step 2: Convert to fraction form
    284,977.50/444,719 = 444,719/x
  3. Step 3: Cross multiply
    284,977.50x = 444,719 × 444,719
  4. Step 4: Simplify right side
    284,977.50x = 197,774,988,961
  5. Step 5: Solve for x
    x = 197,774,988,961/284,977.50
  6. Step 6: Final answer
    x = 694,002.12

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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.