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Finding the Third Proportional to 542,838 and 798,039

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Solution

The third proportional to 542,838 and 798,039 is: 1,173,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,838 : 798,039 = 798,039 : x
  2. Step 2: Convert to fraction form
    542,838/798,039 = 798,039/x
  3. Step 3: Cross multiply
    542,838x = 798,039 × 798,039
  4. Step 4: Simplify right side
    542,838x = 636,866,245,521
  5. Step 5: Solve for x
    x = 636,866,245,521/542,838
  6. Step 6: Final answer
    x = 1,173,216.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.