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Finding the Third Proportional to 383,148 and 832,614

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Solution

The third proportional to 383,148 and 832,614 is: 1,809,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,148 : 832,614 = 832,614 : x
  2. Step 2: Convert to fraction form
    383,148/832,614 = 832,614/x
  3. Step 3: Cross multiply
    383,148x = 832,614 × 832,614
  4. Step 4: Simplify right side
    383,148x = 693,246,072,996
  5. Step 5: Solve for x
    x = 693,246,072,996/383,148
  6. Step 6: Final answer
    x = 1,809,342.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.