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Finding the Third Proportional to 285,214 and 619,690

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Solution

The third proportional to 285,214 and 619,690 is: 1,346,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,214 : 619,690 = 619,690 : x
  2. Step 2: Convert to fraction form
    285,214/619,690 = 619,690/x
  3. Step 3: Cross multiply
    285,214x = 619,690 × 619,690
  4. Step 4: Simplify right side
    285,214x = 384,015,696,100
  5. Step 5: Solve for x
    x = 384,015,696,100/285,214
  6. Step 6: Final answer
    x = 1,346,412.50

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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.