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Finding the Third Proportional to 313,036 and 467,709

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Solution

The third proportional to 313,036 and 467,709 is: 698,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,036 : 467,709 = 467,709 : x
  2. Step 2: Convert to fraction form
    313,036/467,709 = 467,709/x
  3. Step 3: Cross multiply
    313,036x = 467,709 × 467,709
  4. Step 4: Simplify right side
    313,036x = 218,751,708,681
  5. Step 5: Solve for x
    x = 218,751,708,681/313,036
  6. Step 6: Final answer
    x = 698,806.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.