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Finding the Third Proportional to 245,905.50 and 507,147

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Solution

The third proportional to 245,905.50 and 507,147 is: 1,045,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,905.50 : 507,147 = 507,147 : x
  2. Step 2: Convert to fraction form
    245,905.50/507,147 = 507,147/x
  3. Step 3: Cross multiply
    245,905.50x = 507,147 × 507,147
  4. Step 4: Simplify right side
    245,905.50x = 257,198,079,609
  5. Step 5: Solve for x
    x = 257,198,079,609/245,905.50
  6. Step 6: Final answer
    x = 1,045,922.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.