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Finding the Third Proportional to 326,065.50 and 715,513.50

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Solution

The third proportional to 326,065.50 and 715,513.50 is: 1,570,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,065.50 : 715,513.50 = 715,513.50 : x
  2. Step 2: Convert to fraction form
    326,065.50/715,513.50 = 715,513.50/x
  3. Step 3: Cross multiply
    326,065.50x = 715,513.50 × 715,513.50
  4. Step 4: Simplify right side
    326,065.50x = 511,959,568,682.25
  5. Step 5: Solve for x
    x = 511,959,568,682.25/326,065.50
  6. Step 6: Final answer
    x = 1,570,112.66

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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.