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Finding the Third Proportional to 305,390 and 664,996

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Solution

The third proportional to 305,390 and 664,996 is: 1,448,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,390 : 664,996 = 664,996 : x
  2. Step 2: Convert to fraction form
    305,390/664,996 = 664,996/x
  3. Step 3: Cross multiply
    305,390x = 664,996 × 664,996
  4. Step 4: Simplify right side
    305,390x = 442,219,680,016
  5. Step 5: Solve for x
    x = 442,219,680,016/305,390
  6. Step 6: Final answer
    x = 1,448,048.99

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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.