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Finding the Third Proportional to 326,718 and 703,495.50

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Solution

The third proportional to 326,718 and 703,495.50 is: 1,514,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,718 : 703,495.50 = 703,495.50 : x
  2. Step 2: Convert to fraction form
    326,718/703,495.50 = 703,495.50/x
  3. Step 3: Cross multiply
    326,718x = 703,495.50 × 703,495.50
  4. Step 4: Simplify right side
    326,718x = 494,905,918,520.25
  5. Step 5: Solve for x
    x = 494,905,918,520.25/326,718
  6. Step 6: Final answer
    x = 1,514,780.08

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