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Finding the Third Proportional to 494,371,233 and 747,919,588.50

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Solution

The third proportional to 494,371,233 and 747,919,588.50 is: 1,131,505,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,371,233 : 747,919,588.50 = 747,919,588.50 : x
  2. Step 2: Convert to fraction form
    494,371,233/747,919,588.50 = 747,919,588.50/x
  3. Step 3: Cross multiply
    494,371,233x = 747,919,588.50 × 747,919,588.50
  4. Step 4: Simplify right side
    494,371,233x = 559,383,710,862,009,344
  5. Step 5: Solve for x
    x = 559,383,710,862,009,344/494,371,233
  6. Step 6: Final answer
    x = 1,131,505,382.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.