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Finding the Third Proportional to 310,176 and 467,856

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Solution

The third proportional to 310,176 and 467,856 is: 705,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,176 : 467,856 = 467,856 : x
  2. Step 2: Convert to fraction form
    310,176/467,856 = 467,856/x
  3. Step 3: Cross multiply
    310,176x = 467,856 × 467,856
  4. Step 4: Simplify right side
    310,176x = 218,889,236,736
  5. Step 5: Solve for x
    x = 218,889,236,736/310,176
  6. Step 6: Final answer
    x = 705,693.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.