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Finding the Third Proportional to 329,045 and 495,996

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Solution

The third proportional to 329,045 and 495,996 is: 747,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,045 : 495,996 = 495,996 : x
  2. Step 2: Convert to fraction form
    329,045/495,996 = 495,996/x
  3. Step 3: Cross multiply
    329,045x = 495,996 × 495,996
  4. Step 4: Simplify right side
    329,045x = 246,012,032,016
  5. Step 5: Solve for x
    x = 246,012,032,016/329,045
  6. Step 6: Final answer
    x = 747,654.67

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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.