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Finding the Third Proportional to 291,098.25 and 462,891.75

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Solution

The third proportional to 291,098.25 and 462,891.75 is: 736,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,098.25 : 462,891.75 = 462,891.75 : x
  2. Step 2: Convert to fraction form
    291,098.25/462,891.75 = 462,891.75/x
  3. Step 3: Cross multiply
    291,098.25x = 462,891.75 × 462,891.75
  4. Step 4: Simplify right side
    291,098.25x = 214,268,772,218.06
  5. Step 5: Solve for x
    x = 214,268,772,218.06/291,098.25
  6. Step 6: Final answer
    x = 736,070.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.