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Finding the Third Proportional to 243,745 and 543,503.75

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Solution

The third proportional to 243,745 and 543,503.75 is: 1,211,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,745 : 543,503.75 = 543,503.75 : x
  2. Step 2: Convert to fraction form
    243,745/543,503.75 = 543,503.75/x
  3. Step 3: Cross multiply
    243,745x = 543,503.75 × 543,503.75
  4. Step 4: Simplify right side
    243,745x = 295,396,326,264.06
  5. Step 5: Solve for x
    x = 295,396,326,264.06/243,745
  6. Step 6: Final answer
    x = 1,211,907.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.