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Finding the Third Proportional to 309,066 and 664,348

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Solution

The third proportional to 309,066 and 664,348 is: 1,428,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,066 : 664,348 = 664,348 : x
  2. Step 2: Convert to fraction form
    309,066/664,348 = 664,348/x
  3. Step 3: Cross multiply
    309,066x = 664,348 × 664,348
  4. Step 4: Simplify right side
    309,066x = 441,358,265,104
  5. Step 5: Solve for x
    x = 441,358,265,104/309,066
  6. Step 6: Final answer
    x = 1,428,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.