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Finding the Third Proportional to 309,636 and 632,392

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Solution

The third proportional to 309,636 and 632,392 is: 1,291,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,636 : 632,392 = 632,392 : x
  2. Step 2: Convert to fraction form
    309,636/632,392 = 632,392/x
  3. Step 3: Cross multiply
    309,636x = 632,392 × 632,392
  4. Step 4: Simplify right side
    309,636x = 399,919,641,664
  5. Step 5: Solve for x
    x = 399,919,641,664/309,636
  6. Step 6: Final answer
    x = 1,291,579.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.