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Finding the Third Proportional to 318,071.25 and 467,579.25

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Solution

The third proportional to 318,071.25 and 467,579.25 is: 687,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,071.25 : 467,579.25 = 467,579.25 : x
  2. Step 2: Convert to fraction form
    318,071.25/467,579.25 = 467,579.25/x
  3. Step 3: Cross multiply
    318,071.25x = 467,579.25 × 467,579.25
  4. Step 4: Simplify right side
    318,071.25x = 218,630,355,030.56
  5. Step 5: Solve for x
    x = 218,630,355,030.56/318,071.25
  6. Step 6: Final answer
    x = 687,362.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.