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Finding the Third Proportional to 366,458.75 and 560,586.38

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Solution

The third proportional to 366,458.75 and 560,586.38 is: 857,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,458.75 : 560,586.38 = 560,586.38 : x
  2. Step 2: Convert to fraction form
    366,458.75/560,586.38 = 560,586.38/x
  3. Step 3: Cross multiply
    366,458.75x = 560,586.38 × 560,586.38
  4. Step 4: Simplify right side
    366,458.75x = 314,257,083,835.64
  5. Step 5: Solve for x
    x = 314,257,083,835.64/366,458.75
  6. Step 6: Final answer
    x = 857,551.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.