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Finding the Third Proportional to 336,075 and 738,407

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Solution

The third proportional to 336,075 and 738,407 is: 1,622,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,075 : 738,407 = 738,407 : x
  2. Step 2: Convert to fraction form
    336,075/738,407 = 738,407/x
  3. Step 3: Cross multiply
    336,075x = 738,407 × 738,407
  4. Step 4: Simplify right side
    336,075x = 545,244,897,649
  5. Step 5: Solve for x
    x = 545,244,897,649/336,075
  6. Step 6: Final answer
    x = 1,622,390.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.