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Finding the Third Proportional to 635,042 and 874,803

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Solution

The third proportional to 635,042 and 874,803 is: 1,205,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,042 : 874,803 = 874,803 : x
  2. Step 2: Convert to fraction form
    635,042/874,803 = 874,803/x
  3. Step 3: Cross multiply
    635,042x = 874,803 × 874,803
  4. Step 4: Simplify right side
    635,042x = 765,280,288,809
  5. Step 5: Solve for x
    x = 765,280,288,809/635,042
  6. Step 6: Final answer
    x = 1,205,086.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.