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Finding the Third Proportional to 347,032 and 524,925

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Solution

The third proportional to 347,032 and 524,925 is: 794,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,032 : 524,925 = 524,925 : x
  2. Step 2: Convert to fraction form
    347,032/524,925 = 524,925/x
  3. Step 3: Cross multiply
    347,032x = 524,925 × 524,925
  4. Step 4: Simplify right side
    347,032x = 275,546,255,625
  5. Step 5: Solve for x
    x = 275,546,255,625/347,032
  6. Step 6: Final answer
    x = 794,008.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.