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Finding the Third Proportional to 291,449,173 and 416,775,518

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Solution

The third proportional to 291,449,173 and 416,775,518 is: 595,993,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,449,173 : 416,775,518 = 416,775,518 : x
  2. Step 2: Convert to fraction form
    291,449,173/416,775,518 = 416,775,518/x
  3. Step 3: Cross multiply
    291,449,173x = 416,775,518 × 416,775,518
  4. Step 4: Simplify right side
    291,449,173x = 173,701,832,404,168,320
  5. Step 5: Solve for x
    x = 173,701,832,404,168,320/291,449,173
  6. Step 6: Final answer
    x = 595,993,567.65

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