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Finding the Third Proportional to 240,532.50 and 519,201

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Solution

The third proportional to 240,532.50 and 519,201 is: 1,120,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,532.50 : 519,201 = 519,201 : x
  2. Step 2: Convert to fraction form
    240,532.50/519,201 = 519,201/x
  3. Step 3: Cross multiply
    240,532.50x = 519,201 × 519,201
  4. Step 4: Simplify right side
    240,532.50x = 269,569,678,401
  5. Step 5: Solve for x
    x = 269,569,678,401/240,532.50
  6. Step 6: Final answer
    x = 1,120,720.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.