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Finding the Third Proportional to 285,079.50 and 619,443

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Solution

The third proportional to 285,079.50 and 619,443 is: 1,345,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,079.50 : 619,443 = 619,443 : x
  2. Step 2: Convert to fraction form
    285,079.50/619,443 = 619,443/x
  3. Step 3: Cross multiply
    285,079.50x = 619,443 × 619,443
  4. Step 4: Simplify right side
    285,079.50x = 383,709,630,249
  5. Step 5: Solve for x
    x = 383,709,630,249/285,079.50
  6. Step 6: Final answer
    x = 1,345,974.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.