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Finding the Third Proportional to 255,427,032 and 389,516,880

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Solution

The third proportional to 255,427,032 and 389,516,880 is: 593,998,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,427,032 : 389,516,880 = 389,516,880 : x
  2. Step 2: Convert to fraction form
    255,427,032/389,516,880 = 389,516,880/x
  3. Step 3: Cross multiply
    255,427,032x = 389,516,880 × 389,516,880
  4. Step 4: Simplify right side
    255,427,032x = 151,723,399,804,934,400
  5. Step 5: Solve for x
    x = 151,723,399,804,934,400/255,427,032
  6. Step 6: Final answer
    x = 593,998,993.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.