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Finding the Third Proportional to 326,236 and 475,152

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Solution

The third proportional to 326,236 and 475,152 is: 692,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,236 : 475,152 = 475,152 : x
  2. Step 2: Convert to fraction form
    326,236/475,152 = 475,152/x
  3. Step 3: Cross multiply
    326,236x = 475,152 × 475,152
  4. Step 4: Simplify right side
    326,236x = 225,769,423,104
  5. Step 5: Solve for x
    x = 225,769,423,104/326,236
  6. Step 6: Final answer
    x = 692,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.