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Finding the Third Proportional to 285,762 and 610,892

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Solution

The third proportional to 285,762 and 610,892 is: 1,305,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,762 : 610,892 = 610,892 : x
  2. Step 2: Convert to fraction form
    285,762/610,892 = 610,892/x
  3. Step 3: Cross multiply
    285,762x = 610,892 × 610,892
  4. Step 4: Simplify right side
    285,762x = 373,189,035,664
  5. Step 5: Solve for x
    x = 373,189,035,664/285,762
  6. Step 6: Final answer
    x = 1,305,943.53

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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.