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Finding the Third Proportional to 546,296 and 856,979

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Solution

The third proportional to 546,296 and 856,979 is: 1,344,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,296 : 856,979 = 856,979 : x
  2. Step 2: Convert to fraction form
    546,296/856,979 = 856,979/x
  3. Step 3: Cross multiply
    546,296x = 856,979 × 856,979
  4. Step 4: Simplify right side
    546,296x = 734,413,006,441
  5. Step 5: Solve for x
    x = 734,413,006,441/546,296
  6. Step 6: Final answer
    x = 1,344,349.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.