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Finding the Third Proportional to 313,119 and 685,314

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Solution

The third proportional to 313,119 and 685,314 is: 1,499,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,119 : 685,314 = 685,314 : x
  2. Step 2: Convert to fraction form
    313,119/685,314 = 685,314/x
  3. Step 3: Cross multiply
    313,119x = 685,314 × 685,314
  4. Step 4: Simplify right side
    313,119x = 469,655,278,596
  5. Step 5: Solve for x
    x = 469,655,278,596/313,119
  6. Step 6: Final answer
    x = 1,499,925.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.