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Finding the Third Proportional to 370,082 and 769,252

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Solution

The third proportional to 370,082 and 769,252 is: 1,598,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,082 : 769,252 = 769,252 : x
  2. Step 2: Convert to fraction form
    370,082/769,252 = 769,252/x
  3. Step 3: Cross multiply
    370,082x = 769,252 × 769,252
  4. Step 4: Simplify right side
    370,082x = 591,748,639,504
  5. Step 5: Solve for x
    x = 591,748,639,504/370,082
  6. Step 6: Final answer
    x = 1,598,966.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.