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Finding the Third Proportional to 383,627 and 807,030

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Solution

The third proportional to 383,627 and 807,030 is: 1,697,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,627 : 807,030 = 807,030 : x
  2. Step 2: Convert to fraction form
    383,627/807,030 = 807,030/x
  3. Step 3: Cross multiply
    383,627x = 807,030 × 807,030
  4. Step 4: Simplify right side
    383,627x = 651,297,420,900
  5. Step 5: Solve for x
    x = 651,297,420,900/383,627
  6. Step 6: Final answer
    x = 1,697,736.14

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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.