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Finding the Third Proportional to 299,726 and 452,766

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Solution

The third proportional to 299,726 and 452,766 is: 683,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,726 : 452,766 = 452,766 : x
  2. Step 2: Convert to fraction form
    299,726/452,766 = 452,766/x
  3. Step 3: Cross multiply
    299,726x = 452,766 × 452,766
  4. Step 4: Simplify right side
    299,726x = 204,997,050,756
  5. Step 5: Solve for x
    x = 204,997,050,756/299,726
  6. Step 6: Final answer
    x = 683,948.18

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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.