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Finding the Third Proportional to 316,274 and 680,905

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Solution

The third proportional to 316,274 and 680,905 is: 1,465,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,274 : 680,905 = 680,905 : x
  2. Step 2: Convert to fraction form
    316,274/680,905 = 680,905/x
  3. Step 3: Cross multiply
    316,274x = 680,905 × 680,905
  4. Step 4: Simplify right side
    316,274x = 463,631,619,025
  5. Step 5: Solve for x
    x = 463,631,619,025/316,274
  6. Step 6: Final answer
    x = 1,465,917.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.