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Finding the Third Proportional to 510,205.50 and 1,112,265

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Solution

The third proportional to 510,205.50 and 1,112,265 is: 2,424,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,205.50 : 1,112,265 = 1,112,265 : x
  2. Step 2: Convert to fraction form
    510,205.50/1,112,265 = 1,112,265/x
  3. Step 3: Cross multiply
    510,205.50x = 1,112,265 × 1,112,265
  4. Step 4: Simplify right side
    510,205.50x = 1,237,133,430,225
  5. Step 5: Solve for x
    x = 1,237,133,430,225/510,205.50
  6. Step 6: Final answer
    x = 2,424,774.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.