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Finding the Third Proportional to 306,966.75 and 664,377

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Solution

The third proportional to 306,966.75 and 664,377 is: 1,437,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,966.75 : 664,377 = 664,377 : x
  2. Step 2: Convert to fraction form
    306,966.75/664,377 = 664,377/x
  3. Step 3: Cross multiply
    306,966.75x = 664,377 × 664,377
  4. Step 4: Simplify right side
    306,966.75x = 441,396,798,129
  5. Step 5: Solve for x
    x = 441,396,798,129/306,966.75
  6. Step 6: Final answer
    x = 1,437,930.32

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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.