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Finding the Third Proportional to 324,074 and 507,219

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Solution

The third proportional to 324,074 and 507,219 is: 793,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,074 : 507,219 = 507,219 : x
  2. Step 2: Convert to fraction form
    324,074/507,219 = 507,219/x
  3. Step 3: Cross multiply
    324,074x = 507,219 × 507,219
  4. Step 4: Simplify right side
    324,074x = 257,271,113,961
  5. Step 5: Solve for x
    x = 257,271,113,961/324,074
  6. Step 6: Final answer
    x = 793,865.33

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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.