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Finding the Third Proportional to 543,292.50 and 823,972.50

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Solution

The third proportional to 543,292.50 and 823,972.50 is: 1,249,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,292.50 : 823,972.50 = 823,972.50 : x
  2. Step 2: Convert to fraction form
    543,292.50/823,972.50 = 823,972.50/x
  3. Step 3: Cross multiply
    543,292.50x = 823,972.50 × 823,972.50
  4. Step 4: Simplify right side
    543,292.50x = 678,930,680,756.25
  5. Step 5: Solve for x
    x = 678,930,680,756.25/543,292.50
  6. Step 6: Final answer
    x = 1,249,659.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.