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Finding the Third Proportional to 264,689,502 and 400,438,512

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Solution

The third proportional to 264,689,502 and 400,438,512 is: 605,807,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,689,502 : 400,438,512 = 400,438,512 : x
  2. Step 2: Convert to fraction form
    264,689,502/400,438,512 = 400,438,512/x
  3. Step 3: Cross multiply
    264,689,502x = 400,438,512 × 400,438,512
  4. Step 4: Simplify right side
    264,689,502x = 160,351,001,892,774,144
  5. Step 5: Solve for x
    x = 160,351,001,892,774,144/264,689,502
  6. Step 6: Final answer
    x = 605,807,939.80

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