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Finding the Third Proportional to 312,273 and 608,994

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Solution

The third proportional to 312,273 and 608,994 is: 1,187,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,273 : 608,994 = 608,994 : x
  2. Step 2: Convert to fraction form
    312,273/608,994 = 608,994/x
  3. Step 3: Cross multiply
    312,273x = 608,994 × 608,994
  4. Step 4: Simplify right side
    312,273x = 370,873,692,036
  5. Step 5: Solve for x
    x = 370,873,692,036/312,273
  6. Step 6: Final answer
    x = 1,187,658.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.