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Finding the Third Proportional to 255,769,289.25 and 554,551,704.75

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Solution

The third proportional to 255,769,289.25 and 554,551,704.75 is: 1,202,363,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,769,289.25 : 554,551,704.75 = 554,551,704.75 : x
  2. Step 2: Convert to fraction form
    255,769,289.25/554,551,704.75 = 554,551,704.75/x
  3. Step 3: Cross multiply
    255,769,289.25x = 554,551,704.75 × 554,551,704.75
  4. Step 4: Simplify right side
    255,769,289.25x = 307,527,593,241,131,200
  5. Step 5: Solve for x
    x = 307,527,593,241,131,200/255,769,289.25
  6. Step 6: Final answer
    x = 1,202,363,247.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.