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Finding the Third Proportional to 254,430,965 and 389,046,041

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Solution

The third proportional to 254,430,965 and 389,046,041 is: 594,883,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,430,965 : 389,046,041 = 389,046,041 : x
  2. Step 2: Convert to fraction form
    254,430,965/389,046,041 = 389,046,041/x
  3. Step 3: Cross multiply
    254,430,965x = 389,046,041 × 389,046,041
  4. Step 4: Simplify right side
    254,430,965x = 151,356,822,017,773,696
  5. Step 5: Solve for x
    x = 151,356,822,017,773,696/254,430,965
  6. Step 6: Final answer
    x = 594,883,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.