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Finding the Third Proportional to 243,747 and 543,508.50

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Solution

The third proportional to 243,747 and 543,508.50 is: 1,211,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,747 : 543,508.50 = 543,508.50 : x
  2. Step 2: Convert to fraction form
    243,747/543,508.50 = 543,508.50/x
  3. Step 3: Cross multiply
    243,747x = 543,508.50 × 543,508.50
  4. Step 4: Simplify right side
    243,747x = 295,401,489,572.25
  5. Step 5: Solve for x
    x = 295,401,489,572.25/243,747
  6. Step 6: Final answer
    x = 1,211,918.46

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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.