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Finding the Third Proportional to 507,657.38 and 673,869.38

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Solution

The third proportional to 507,657.38 and 673,869.38 is: 894,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,657.38 : 673,869.38 = 673,869.38 : x
  2. Step 2: Convert to fraction form
    507,657.38/673,869.38 = 673,869.38/x
  3. Step 3: Cross multiply
    507,657.38x = 673,869.38 × 673,869.38
  4. Step 4: Simplify right side
    507,657.38x = 454,099,934,562.89
  5. Step 5: Solve for x
    x = 454,099,934,562.89/507,657.38
  6. Step 6: Final answer
    x = 894,500.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.