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Finding the Third Proportional to 383,142 and 832,603

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Solution

The third proportional to 383,142 and 832,603 is: 1,809,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,142 : 832,603 = 832,603 : x
  2. Step 2: Convert to fraction form
    383,142/832,603 = 832,603/x
  3. Step 3: Cross multiply
    383,142x = 832,603 × 832,603
  4. Step 4: Simplify right side
    383,142x = 693,227,755,609
  5. Step 5: Solve for x
    x = 693,227,755,609/383,142
  6. Step 6: Final answer
    x = 1,809,323.32

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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.