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Finding the Third Proportional to 409,388,848 and 585,430,832

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Solution

The third proportional to 409,388,848 and 585,430,832 is: 837,172,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,388,848 : 585,430,832 = 585,430,832 : x
  2. Step 2: Convert to fraction form
    409,388,848/585,430,832 = 585,430,832/x
  3. Step 3: Cross multiply
    409,388,848x = 585,430,832 × 585,430,832
  4. Step 4: Simplify right side
    409,388,848x = 342,729,259,056,212,224
  5. Step 5: Solve for x
    x = 342,729,259,056,212,224/409,388,848
  6. Step 6: Final answer
    x = 837,172,924.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.