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Finding the Third Proportional to 384,604 and 821,695

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Solution

The third proportional to 384,604 and 821,695 is: 1,755,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,604 : 821,695 = 821,695 : x
  2. Step 2: Convert to fraction form
    384,604/821,695 = 821,695/x
  3. Step 3: Cross multiply
    384,604x = 821,695 × 821,695
  4. Step 4: Simplify right side
    384,604x = 675,182,673,025
  5. Step 5: Solve for x
    x = 675,182,673,025/384,604
  6. Step 6: Final answer
    x = 1,755,526.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.