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Finding the Third Proportional to 244,145.44 and 535,563.88

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Solution

The third proportional to 244,145.44 and 535,563.88 is: 1,174,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,145.44 : 535,563.88 = 535,563.88 : x
  2. Step 2: Convert to fraction form
    244,145.44/535,563.88 = 535,563.88/x
  3. Step 3: Cross multiply
    244,145.44x = 535,563.88 × 535,563.88
  4. Step 4: Simplify right side
    244,145.44x = 286,828,664,205.02
  5. Step 5: Solve for x
    x = 286,828,664,205.02/244,145.44
  6. Step 6: Final answer
    x = 1,174,827.05

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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.