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Finding the Third Proportional to 285,842 and 611,064

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Solution

The third proportional to 285,842 and 611,064 is: 1,306,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,842 : 611,064 = 611,064 : x
  2. Step 2: Convert to fraction form
    285,842/611,064 = 611,064/x
  3. Step 3: Cross multiply
    285,842x = 611,064 × 611,064
  4. Step 4: Simplify right side
    285,842x = 373,399,212,096
  5. Step 5: Solve for x
    x = 373,399,212,096/285,842
  6. Step 6: Final answer
    x = 1,306,313.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.