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Finding the Third Proportional to 326,007 and 518,710.50

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Solution

The third proportional to 326,007 and 518,710.50 is: 825,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,007 : 518,710.50 = 518,710.50 : x
  2. Step 2: Convert to fraction form
    326,007/518,710.50 = 518,710.50/x
  3. Step 3: Cross multiply
    326,007x = 518,710.50 × 518,710.50
  4. Step 4: Simplify right side
    326,007x = 269,060,582,810.25
  5. Step 5: Solve for x
    x = 269,060,582,810.25/326,007
  6. Step 6: Final answer
    x = 825,321.49

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