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Finding the Third Proportional to 550,195.50 and 1,205,361

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Solution

The third proportional to 550,195.50 and 1,205,361 is: 2,640,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,195.50 : 1,205,361 = 1,205,361 : x
  2. Step 2: Convert to fraction form
    550,195.50/1,205,361 = 1,205,361/x
  3. Step 3: Cross multiply
    550,195.50x = 1,205,361 × 1,205,361
  4. Step 4: Simplify right side
    550,195.50x = 1,452,895,140,321
  5. Step 5: Solve for x
    x = 1,452,895,140,321/550,195.50
  6. Step 6: Final answer
    x = 2,640,688.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.