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Finding the Third Proportional to 270,768,388.50 and 412,501,254.75

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Solution

The third proportional to 270,768,388.50 and 412,501,254.75 is: 628,423,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,768,388.50 : 412,501,254.75 = 412,501,254.75 : x
  2. Step 2: Convert to fraction form
    270,768,388.50/412,501,254.75 = 412,501,254.75/x
  3. Step 3: Cross multiply
    270,768,388.50x = 412,501,254.75 × 412,501,254.75
  4. Step 4: Simplify right side
    270,768,388.50x = 170,157,285,170,324,384
  5. Step 5: Solve for x
    x = 170,157,285,170,324,384/270,768,388.50
  6. Step 6: Final answer
    x = 628,423,746.63

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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.