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Finding the Third Proportional to 328,401 and 708,075

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Solution

The third proportional to 328,401 and 708,075 is: 1,526,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,401 : 708,075 = 708,075 : x
  2. Step 2: Convert to fraction form
    328,401/708,075 = 708,075/x
  3. Step 3: Cross multiply
    328,401x = 708,075 × 708,075
  4. Step 4: Simplify right side
    328,401x = 501,370,205,625
  5. Step 5: Solve for x
    x = 501,370,205,625/328,401
  6. Step 6: Final answer
    x = 1,526,701.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.