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Finding the Third Proportional to 324,075.94 and 490,591.69

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Solution

The third proportional to 324,075.94 and 490,591.69 is: 742,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,075.94 : 490,591.69 = 490,591.69 : x
  2. Step 2: Convert to fraction form
    324,075.94/490,591.69 = 490,591.69/x
  3. Step 3: Cross multiply
    324,075.94x = 490,591.69 × 490,591.69
  4. Step 4: Simplify right side
    324,075.94x = 240,680,203,844.10
  5. Step 5: Solve for x
    x = 240,680,203,844.10/324,075.94
  6. Step 6: Final answer
    x = 742,666.07

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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.