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Finding the Third Proportional to 299,724 and 452,763

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Solution

The third proportional to 299,724 and 452,763 is: 683,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724 : 452,763 = 452,763 : x
  2. Step 2: Convert to fraction form
    299,724/452,763 = 452,763/x
  3. Step 3: Cross multiply
    299,724x = 452,763 × 452,763
  4. Step 4: Simplify right side
    299,724x = 204,994,334,169
  5. Step 5: Solve for x
    x = 204,994,334,169/299,724
  6. Step 6: Final answer
    x = 683,943.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.