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Finding the Third Proportional to 244,140.75 and 534,829.50

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Solution

The third proportional to 244,140.75 and 534,829.50 is: 1,171,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,140.75 : 534,829.50 = 534,829.50 : x
  2. Step 2: Convert to fraction form
    244,140.75/534,829.50 = 534,829.50/x
  3. Step 3: Cross multiply
    244,140.75x = 534,829.50 × 534,829.50
  4. Step 4: Simplify right side
    244,140.75x = 286,042,594,070.25
  5. Step 5: Solve for x
    x = 286,042,594,070.25/244,140.75
  6. Step 6: Final answer
    x = 1,171,629.87

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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.