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Finding the Third Proportional to 285,061 and 619,739

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Solution

The third proportional to 285,061 and 619,739 is: 1,347,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,061 : 619,739 = 619,739 : x
  2. Step 2: Convert to fraction form
    285,061/619,739 = 619,739/x
  3. Step 3: Cross multiply
    285,061x = 619,739 × 619,739
  4. Step 4: Simplify right side
    285,061x = 384,076,428,121
  5. Step 5: Solve for x
    x = 384,076,428,121/285,061
  6. Step 6: Final answer
    x = 1,347,348.21

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Why These Related Problems?

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