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Finding the Third Proportional to 635,176 and 902,856

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Solution

The third proportional to 635,176 and 902,856 is: 1,283,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,176 : 902,856 = 902,856 : x
  2. Step 2: Convert to fraction form
    635,176/902,856 = 902,856/x
  3. Step 3: Cross multiply
    635,176x = 902,856 × 902,856
  4. Step 4: Simplify right side
    635,176x = 815,148,956,736
  5. Step 5: Solve for x
    x = 815,148,956,736/635,176
  6. Step 6: Final answer
    x = 1,283,343.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.