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Finding the Third Proportional to 270,768,389 and 412,501,256

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Solution

The third proportional to 270,768,389 and 412,501,256 is: 628,423,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,768,389 : 412,501,256 = 412,501,256 : x
  2. Step 2: Convert to fraction form
    270,768,389/412,501,256 = 412,501,256/x
  3. Step 3: Cross multiply
    270,768,389x = 412,501,256 × 412,501,256
  4. Step 4: Simplify right side
    270,768,389x = 170,157,286,201,577,536
  5. Step 5: Solve for x
    x = 170,157,286,201,577,536/270,768,389
  6. Step 6: Final answer
    x = 628,423,749.28

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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.