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Finding the Third Proportional to 276,423 and 580,701

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Solution

The third proportional to 276,423 and 580,701 is: 1,219,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,423 : 580,701 = 580,701 : x
  2. Step 2: Convert to fraction form
    276,423/580,701 = 580,701/x
  3. Step 3: Cross multiply
    276,423x = 580,701 × 580,701
  4. Step 4: Simplify right side
    276,423x = 337,213,651,401
  5. Step 5: Solve for x
    x = 337,213,651,401/276,423
  6. Step 6: Final answer
    x = 1,219,918.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.