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Finding the Third Proportional to 373,925 and 580,092

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Solution

The third proportional to 373,925 and 580,092 is: 899,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,925 : 580,092 = 580,092 : x
  2. Step 2: Convert to fraction form
    373,925/580,092 = 580,092/x
  3. Step 3: Cross multiply
    373,925x = 580,092 × 580,092
  4. Step 4: Simplify right side
    373,925x = 336,506,728,464
  5. Step 5: Solve for x
    x = 336,506,728,464/373,925
  6. Step 6: Final answer
    x = 899,931.08

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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.