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Finding the Third Proportional to 551,956 and 830,668

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Solution

The third proportional to 551,956 and 830,668 is: 1,250,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,956 : 830,668 = 830,668 : x
  2. Step 2: Convert to fraction form
    551,956/830,668 = 830,668/x
  3. Step 3: Cross multiply
    551,956x = 830,668 × 830,668
  4. Step 4: Simplify right side
    551,956x = 690,009,326,224
  5. Step 5: Solve for x
    x = 690,009,326,224/551,956
  6. Step 6: Final answer
    x = 1,250,116.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.