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Finding the Third Proportional to 328,833 and 717,943.50

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Solution

The third proportional to 328,833 and 717,943.50 is: 1,567,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,833 : 717,943.50 = 717,943.50 : x
  2. Step 2: Convert to fraction form
    328,833/717,943.50 = 717,943.50/x
  3. Step 3: Cross multiply
    328,833x = 717,943.50 × 717,943.50
  4. Step 4: Simplify right side
    328,833x = 515,442,869,192.25
  5. Step 5: Solve for x
    x = 515,442,869,192.25/328,833
  6. Step 6: Final answer
    x = 1,567,491.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.