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Finding the Third Proportional to 360,372 and 565,317

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Solution

The third proportional to 360,372 and 565,317 is: 886,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,372 : 565,317 = 565,317 : x
  2. Step 2: Convert to fraction form
    360,372/565,317 = 565,317/x
  3. Step 3: Cross multiply
    360,372x = 565,317 × 565,317
  4. Step 4: Simplify right side
    360,372x = 319,583,310,489
  5. Step 5: Solve for x
    x = 319,583,310,489/360,372
  6. Step 6: Final answer
    x = 886,815.04

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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.