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Finding the Third Proportional to 257,018,520.38 and 391,554,058.50

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Solution

The third proportional to 257,018,520.38 and 391,554,058.50 is: 596,511,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,520.38 : 391,554,058.50 = 391,554,058.50 : x
  2. Step 2: Convert to fraction form
    257,018,520.38/391,554,058.50 = 391,554,058.50/x
  3. Step 3: Cross multiply
    257,018,520.38x = 391,554,058.50 × 391,554,058.50
  4. Step 4: Simplify right side
    257,018,520.38x = 153,314,580,727,821,408
  5. Step 5: Solve for x
    x = 153,314,580,727,821,408/257,018,520.38
  6. Step 6: Final answer
    x = 596,511,801.97

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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.