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Finding the Third Proportional to 306,476 and 475,752

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Solution

The third proportional to 306,476 and 475,752 is: 738,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,476 : 475,752 = 475,752 : x
  2. Step 2: Convert to fraction form
    306,476/475,752 = 475,752/x
  3. Step 3: Cross multiply
    306,476x = 475,752 × 475,752
  4. Step 4: Simplify right side
    306,476x = 226,339,965,504
  5. Step 5: Solve for x
    x = 226,339,965,504/306,476
  6. Step 6: Final answer
    x = 738,524.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.