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Finding the Third Proportional to 285,762 and 610,893

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Solution

The third proportional to 285,762 and 610,893 is: 1,305,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,762 : 610,893 = 610,893 : x
  2. Step 2: Convert to fraction form
    285,762/610,893 = 610,893/x
  3. Step 3: Cross multiply
    285,762x = 610,893 × 610,893
  4. Step 4: Simplify right side
    285,762x = 373,190,257,449
  5. Step 5: Solve for x
    x = 373,190,257,449/285,762
  6. Step 6: Final answer
    x = 1,305,947.81

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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.