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Finding the Third Proportional to 526,032 and 854,616

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Solution

The third proportional to 526,032 and 854,616 is: 1,388,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,032 : 854,616 = 854,616 : x
  2. Step 2: Convert to fraction form
    526,032/854,616 = 854,616/x
  3. Step 3: Cross multiply
    526,032x = 854,616 × 854,616
  4. Step 4: Simplify right side
    526,032x = 730,368,507,456
  5. Step 5: Solve for x
    x = 730,368,507,456/526,032
  6. Step 6: Final answer
    x = 1,388,448.82

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.