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Finding the Third Proportional to 412,844 and 638,053

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Solution

The third proportional to 412,844 and 638,053 is: 986,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,844 : 638,053 = 638,053 : x
  2. Step 2: Convert to fraction form
    412,844/638,053 = 638,053/x
  3. Step 3: Cross multiply
    412,844x = 638,053 × 638,053
  4. Step 4: Simplify right side
    412,844x = 407,111,630,809
  5. Step 5: Solve for x
    x = 407,111,630,809/412,844
  6. Step 6: Final answer
    x = 986,114.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.