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Finding the Third Proportional to 373,905.81 and 580,064.73

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Solution

The third proportional to 373,905.81 and 580,064.73 is: 899,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,905.81 : 580,064.73 = 580,064.73 : x
  2. Step 2: Convert to fraction form
    373,905.81/580,064.73 = 580,064.73/x
  3. Step 3: Cross multiply
    373,905.81x = 580,064.73 × 580,064.73
  4. Step 4: Simplify right side
    373,905.81x = 336,475,091,533.78
  5. Step 5: Solve for x
    x = 336,475,091,533.78/373,905.81
  6. Step 6: Final answer
    x = 899,892.66

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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.