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Finding the Third Proportional to 360,741 and 571,193

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Solution

The third proportional to 360,741 and 571,193 is: 904,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,741 : 571,193 = 571,193 : x
  2. Step 2: Convert to fraction form
    360,741/571,193 = 571,193/x
  3. Step 3: Cross multiply
    360,741x = 571,193 × 571,193
  4. Step 4: Simplify right side
    360,741x = 326,261,443,249
  5. Step 5: Solve for x
    x = 326,261,443,249/360,741
  6. Step 6: Final answer
    x = 904,420.19

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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.