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Finding the Third Proportional to 329,240 and 492,452

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Solution

The third proportional to 329,240 and 492,452 is: 736,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,240 : 492,452 = 492,452 : x
  2. Step 2: Convert to fraction form
    329,240/492,452 = 492,452/x
  3. Step 3: Cross multiply
    329,240x = 492,452 × 492,452
  4. Step 4: Simplify right side
    329,240x = 242,508,972,304
  5. Step 5: Solve for x
    x = 242,508,972,304/329,240
  6. Step 6: Final answer
    x = 736,572.02

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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.