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Finding the Third Proportional to 367,056 and 580,128

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Solution

The third proportional to 367,056 and 580,128 is: 916,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 580,128 = 580,128 : x
  2. Step 2: Convert to fraction form
    367,056/580,128 = 580,128/x
  3. Step 3: Cross multiply
    367,056x = 580,128 × 580,128
  4. Step 4: Simplify right side
    367,056x = 336,548,496,384
  5. Step 5: Solve for x
    x = 336,548,496,384/367,056
  6. Step 6: Final answer
    x = 916,885.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.