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Finding the Third Proportional to 369,075 and 602,661

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Solution

The third proportional to 369,075 and 602,661 is: 984,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,075 : 602,661 = 602,661 : x
  2. Step 2: Convert to fraction form
    369,075/602,661 = 602,661/x
  3. Step 3: Cross multiply
    369,075x = 602,661 × 602,661
  4. Step 4: Simplify right side
    369,075x = 363,200,280,921
  5. Step 5: Solve for x
    x = 363,200,280,921/369,075
  6. Step 6: Final answer
    x = 984,082.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.