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Finding the Third Proportional to 326,886 and 495,219

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Solution

The third proportional to 326,886 and 495,219 is: 750,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,886 : 495,219 = 495,219 : x
  2. Step 2: Convert to fraction form
    326,886/495,219 = 495,219/x
  3. Step 3: Cross multiply
    326,886x = 495,219 × 495,219
  4. Step 4: Simplify right side
    326,886x = 245,241,857,961
  5. Step 5: Solve for x
    x = 245,241,857,961/326,886
  6. Step 6: Final answer
    x = 750,236.65

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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.