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Finding the Third Proportional to 324,079 and 507,226.50

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Solution

The third proportional to 324,079 and 507,226.50 is: 793,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,079 : 507,226.50 = 507,226.50 : x
  2. Step 2: Convert to fraction form
    324,079/507,226.50 = 507,226.50/x
  3. Step 3: Cross multiply
    324,079x = 507,226.50 × 507,226.50
  4. Step 4: Simplify right side
    324,079x = 257,278,722,302.25
  5. Step 5: Solve for x
    x = 257,278,722,302.25/324,079
  6. Step 6: Final answer
    x = 793,876.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.