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Finding the Third Proportional to 309,068 and 664,352

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Solution

The third proportional to 309,068 and 664,352 is: 1,428,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,068 : 664,352 = 664,352 : x
  2. Step 2: Convert to fraction form
    309,068/664,352 = 664,352/x
  3. Step 3: Cross multiply
    309,068x = 664,352 × 664,352
  4. Step 4: Simplify right side
    309,068x = 441,363,579,904
  5. Step 5: Solve for x
    x = 441,363,579,904/309,068
  6. Step 6: Final answer
    x = 1,428,046.84

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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.