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Finding the Third Proportional to 329,616 and 495,301.50

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Solution

The third proportional to 329,616 and 495,301.50 is: 744,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,616 : 495,301.50 = 495,301.50 : x
  2. Step 2: Convert to fraction form
    329,616/495,301.50 = 495,301.50/x
  3. Step 3: Cross multiply
    329,616x = 495,301.50 × 495,301.50
  4. Step 4: Simplify right side
    329,616x = 245,323,575,902.25
  5. Step 5: Solve for x
    x = 245,323,575,902.25/329,616
  6. Step 6: Final answer
    x = 744,270.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.