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Finding the Third Proportional to 543,289.50 and 823,968

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Solution

The third proportional to 543,289.50 and 823,968 is: 1,249,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,289.50 : 823,968 = 823,968 : x
  2. Step 2: Convert to fraction form
    543,289.50/823,968 = 823,968/x
  3. Step 3: Cross multiply
    543,289.50x = 823,968 × 823,968
  4. Step 4: Simplify right side
    543,289.50x = 678,923,265,024
  5. Step 5: Solve for x
    x = 678,923,265,024/543,289.50
  6. Step 6: Final answer
    x = 1,249,652.84

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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.