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Finding the Third Proportional to 305,396 and 665,007

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Solution

The third proportional to 305,396 and 665,007 is: 1,448,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,396 : 665,007 = 665,007 : x
  2. Step 2: Convert to fraction form
    305,396/665,007 = 665,007/x
  3. Step 3: Cross multiply
    305,396x = 665,007 × 665,007
  4. Step 4: Simplify right side
    305,396x = 442,234,310,049
  5. Step 5: Solve for x
    x = 442,234,310,049/305,396
  6. Step 6: Final answer
    x = 1,448,068.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.