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Finding the Third Proportional to 328,999 and 495,929

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Solution

The third proportional to 328,999 and 495,929 is: 747,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,999 : 495,929 = 495,929 : x
  2. Step 2: Convert to fraction form
    328,999/495,929 = 495,929/x
  3. Step 3: Cross multiply
    328,999x = 495,929 × 495,929
  4. Step 4: Simplify right side
    328,999x = 245,945,573,041
  5. Step 5: Solve for x
    x = 245,945,573,041/328,999
  6. Step 6: Final answer
    x = 747,557.21

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