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Finding the Third Proportional to 291,449,170.50 and 416,775,514.88

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Solution

The third proportional to 291,449,170.50 and 416,775,514.88 is: 595,993,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,449,170.50 : 416,775,514.88 = 416,775,514.88 : x
  2. Step 2: Convert to fraction form
    291,449,170.50/416,775,514.88 = 416,775,514.88/x
  3. Step 3: Cross multiply
    291,449,170.50x = 416,775,514.88 × 416,775,514.88
  4. Step 4: Simplify right side
    291,449,170.50x = 173,701,829,799,321,344
  5. Step 5: Solve for x
    x = 173,701,829,799,321,344/291,449,170.50
  6. Step 6: Final answer
    x = 595,993,563.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.