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Finding the Third Proportional to 285,922 and 611,110

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Solution

The third proportional to 285,922 and 611,110 is: 1,306,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,922 : 611,110 = 611,110 : x
  2. Step 2: Convert to fraction form
    285,922/611,110 = 611,110/x
  3. Step 3: Cross multiply
    285,922x = 611,110 × 611,110
  4. Step 4: Simplify right side
    285,922x = 373,455,432,100
  5. Step 5: Solve for x
    x = 373,455,432,100/285,922
  6. Step 6: Final answer
    x = 1,306,144.45

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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.