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Finding the Third Proportional to 309,426 and 669,369

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Solution

The third proportional to 309,426 and 669,369 is: 1,448,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,426 : 669,369 = 669,369 : x
  2. Step 2: Convert to fraction form
    309,426/669,369 = 669,369/x
  3. Step 3: Cross multiply
    309,426x = 669,369 × 669,369
  4. Step 4: Simplify right side
    309,426x = 448,054,858,161
  5. Step 5: Solve for x
    x = 448,054,858,161/309,426
  6. Step 6: Final answer
    x = 1,448,019.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.