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Finding the Third Proportional to 312,188 and 467,028

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Solution

The third proportional to 312,188 and 467,028 is: 698,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,188 : 467,028 = 467,028 : x
  2. Step 2: Convert to fraction form
    312,188/467,028 = 467,028/x
  3. Step 3: Cross multiply
    312,188x = 467,028 × 467,028
  4. Step 4: Simplify right side
    312,188x = 218,115,152,784
  5. Step 5: Solve for x
    x = 218,115,152,784/312,188
  6. Step 6: Final answer
    x = 698,666.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.