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Finding the Third Proportional to 257,018,651.44 and 391,554,235.41

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Solution

The third proportional to 257,018,651.44 and 391,554,235.41 is: 596,512,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,651.44 : 391,554,235.41 = 391,554,235.41 : x
  2. Step 2: Convert to fraction form
    257,018,651.44/391,554,235.41 = 391,554,235.41/x
  3. Step 3: Cross multiply
    257,018,651.44x = 391,554,235.41 × 391,554,235.41
  4. Step 4: Simplify right side
    257,018,651.44x = 153,314,719,264,573,056
  5. Step 5: Solve for x
    x = 153,314,719,264,573,056/257,018,651.44
  6. Step 6: Final answer
    x = 596,512,036.80

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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.