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Finding the Third Proportional to 238,430,264 and 521,494,384

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Solution

The third proportional to 238,430,264 and 521,494,384 is: 1,140,611,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,430,264 : 521,494,384 = 521,494,384 : x
  2. Step 2: Convert to fraction form
    238,430,264/521,494,384 = 521,494,384/x
  3. Step 3: Cross multiply
    238,430,264x = 521,494,384 × 521,494,384
  4. Step 4: Simplify right side
    238,430,264x = 271,956,392,543,539,456
  5. Step 5: Solve for x
    x = 271,956,392,543,539,456/238,430,264
  6. Step 6: Final answer
    x = 1,140,611,883.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.