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Finding the Third Proportional to 360,475.31 and 543,477.09

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Solution

The third proportional to 360,475.31 and 543,477.09 is: 819,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,475.31 : 543,477.09 = 543,477.09 : x
  2. Step 2: Convert to fraction form
    360,475.31/543,477.09 = 543,477.09/x
  3. Step 3: Cross multiply
    360,475.31x = 543,477.09 × 543,477.09
  4. Step 4: Simplify right side
    360,475.31x = 295,367,351,430.95
  5. Step 5: Solve for x
    x = 295,367,351,430.95/360,475.31
  6. Step 6: Final answer
    x = 819,383.02

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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.