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Finding the Third Proportional to 325,482 and 492,813

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Solution

The third proportional to 325,482 and 492,813 is: 746,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,482 : 492,813 = 492,813 : x
  2. Step 2: Convert to fraction form
    325,482/492,813 = 492,813/x
  3. Step 3: Cross multiply
    325,482x = 492,813 × 492,813
  4. Step 4: Simplify right side
    325,482x = 242,864,652,969
  5. Step 5: Solve for x
    x = 242,864,652,969/325,482
  6. Step 6: Final answer
    x = 746,169.23

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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.