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Finding the Third Proportional to 289,128,942 and 440,469,285

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Solution

The third proportional to 289,128,942 and 440,469,285 is: 671,026,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,128,942 : 440,469,285 = 440,469,285 : x
  2. Step 2: Convert to fraction form
    289,128,942/440,469,285 = 440,469,285/x
  3. Step 3: Cross multiply
    289,128,942x = 440,469,285 × 440,469,285
  4. Step 4: Simplify right side
    289,128,942x = 194,013,191,028,411,232
  5. Step 5: Solve for x
    x = 194,013,191,028,411,232/289,128,942
  6. Step 6: Final answer
    x = 671,026,531.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.