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Finding the Third Proportional to 252,621.28 and 545,722.95

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Solution

The third proportional to 252,621.28 and 545,722.95 is: 1,178,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,621.28 : 545,722.95 = 545,722.95 : x
  2. Step 2: Convert to fraction form
    252,621.28/545,722.95 = 545,722.95/x
  3. Step 3: Cross multiply
    252,621.28x = 545,722.95 × 545,722.95
  4. Step 4: Simplify right side
    252,621.28x = 297,813,533,040.55
  5. Step 5: Solve for x
    x = 297,813,533,040.55/252,621.28
  6. Step 6: Final answer
    x = 1,178,893.29

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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.