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Finding the Third Proportional to 373,644 and 580,152

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Solution

The third proportional to 373,644 and 580,152 is: 900,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,644 : 580,152 = 580,152 : x
  2. Step 2: Convert to fraction form
    373,644/580,152 = 580,152/x
  3. Step 3: Cross multiply
    373,644x = 580,152 × 580,152
  4. Step 4: Simplify right side
    373,644x = 336,576,343,104
  5. Step 5: Solve for x
    x = 336,576,343,104/373,644
  6. Step 6: Final answer
    x = 900,794.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.