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Finding the Third Proportional to 325,850 and 477,075

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Solution

The third proportional to 325,850 and 477,075 is: 698,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,850 : 477,075 = 477,075 : x
  2. Step 2: Convert to fraction form
    325,850/477,075 = 477,075/x
  3. Step 3: Cross multiply
    325,850x = 477,075 × 477,075
  4. Step 4: Simplify right side
    325,850x = 227,600,555,625
  5. Step 5: Solve for x
    x = 227,600,555,625/325,850
  6. Step 6: Final answer
    x = 698,482.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.