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Finding the Third Proportional to 325,075 and 431,340

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Solution

The third proportional to 325,075 and 431,340 is: 572,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,075 : 431,340 = 431,340 : x
  2. Step 2: Convert to fraction form
    325,075/431,340 = 431,340/x
  3. Step 3: Cross multiply
    325,075x = 431,340 × 431,340
  4. Step 4: Simplify right side
    325,075x = 186,054,195,600
  5. Step 5: Solve for x
    x = 186,054,195,600/325,075
  6. Step 6: Final answer
    x = 572,342.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.