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Finding the Third Proportional to 554,980 and 830,244

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Solution

The third proportional to 554,980 and 830,244 is: 1,242,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,980 : 830,244 = 830,244 : x
  2. Step 2: Convert to fraction form
    554,980/830,244 = 830,244/x
  3. Step 3: Cross multiply
    554,980x = 830,244 × 830,244
  4. Step 4: Simplify right side
    554,980x = 689,305,099,536
  5. Step 5: Solve for x
    x = 689,305,099,536/554,980
  6. Step 6: Final answer
    x = 1,242,035.93

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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.