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Finding the Third Proportional to 326,896 and 495,234

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Solution

The third proportional to 326,896 and 495,234 is: 750,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,896 : 495,234 = 495,234 : x
  2. Step 2: Convert to fraction form
    326,896/495,234 = 495,234/x
  3. Step 3: Cross multiply
    326,896x = 495,234 × 495,234
  4. Step 4: Simplify right side
    326,896x = 245,256,714,756
  5. Step 5: Solve for x
    x = 245,256,714,756/326,896
  6. Step 6: Final answer
    x = 750,259.15

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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.