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Finding the Third Proportional to 328,946 and 495,848

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Solution

The third proportional to 328,946 and 495,848 is: 747,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,946 : 495,848 = 495,848 : x
  2. Step 2: Convert to fraction form
    328,946/495,848 = 495,848/x
  3. Step 3: Cross multiply
    328,946x = 495,848 × 495,848
  4. Step 4: Simplify right side
    328,946x = 245,865,239,104
  5. Step 5: Solve for x
    x = 245,865,239,104/328,946
  6. Step 6: Final answer
    x = 747,433.44

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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.