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Finding the Third Proportional to 291,849 and 639,055.50

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Solution

The third proportional to 291,849 and 639,055.50 is: 1,399,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,849 : 639,055.50 = 639,055.50 : x
  2. Step 2: Convert to fraction form
    291,849/639,055.50 = 639,055.50/x
  3. Step 3: Cross multiply
    291,849x = 639,055.50 × 639,055.50
  4. Step 4: Simplify right side
    291,849x = 408,391,932,080.25
  5. Step 5: Solve for x
    x = 408,391,932,080.25/291,849
  6. Step 6: Final answer
    x = 1,399,326.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.