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Finding the Third Proportional to 257,300,566 and 397,572,027

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Solution

The third proportional to 257,300,566 and 397,572,027 is: 614,314,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,300,566 : 397,572,027 = 397,572,027 : x
  2. Step 2: Convert to fraction form
    257,300,566/397,572,027 = 397,572,027/x
  3. Step 3: Cross multiply
    257,300,566x = 397,572,027 × 397,572,027
  4. Step 4: Simplify right side
    257,300,566x = 158,063,516,652,888,736
  5. Step 5: Solve for x
    x = 158,063,516,652,888,736/257,300,566
  6. Step 6: Final answer
    x = 614,314,686.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.