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Finding the Third Proportional to 316,218.94 and 682,913.53

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Solution

The third proportional to 316,218.94 and 682,913.53 is: 1,474,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,218.94 : 682,913.53 = 682,913.53 : x
  2. Step 2: Convert to fraction form
    316,218.94/682,913.53 = 682,913.53/x
  3. Step 3: Cross multiply
    316,218.94x = 682,913.53 × 682,913.53
  4. Step 4: Simplify right side
    316,218.94x = 466,370,891,164.35
  5. Step 5: Solve for x
    x = 466,370,891,164.35/316,218.94
  6. Step 6: Final answer
    x = 1,474,835.43

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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.