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Finding the Third Proportional to 320,409.42 and 483,075.14

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Solution

The third proportional to 320,409.42 and 483,075.14 is: 728,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,409.42 : 483,075.14 = 483,075.14 : x
  2. Step 2: Convert to fraction form
    320,409.42/483,075.14 = 483,075.14/x
  3. Step 3: Cross multiply
    320,409.42x = 483,075.14 × 483,075.14
  4. Step 4: Simplify right side
    320,409.42x = 233,361,591,489.86
  5. Step 5: Solve for x
    x = 233,361,591,489.86/320,409.42
  6. Step 6: Final answer
    x = 728,323.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.