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Finding the Third Proportional to 357,268.85 and 766,342.27

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Solution

The third proportional to 357,268.85 and 766,342.27 is: 1,643,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,268.85 : 766,342.27 = 766,342.27 : x
  2. Step 2: Convert to fraction form
    357,268.85/766,342.27 = 766,342.27/x
  3. Step 3: Cross multiply
    357,268.85x = 766,342.27 × 766,342.27
  4. Step 4: Simplify right side
    357,268.85x = 587,280,468,083.26
  5. Step 5: Solve for x
    x = 587,280,468,083.26/357,268.85
  6. Step 6: Final answer
    x = 1,643,805.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.