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Finding the Third Proportional to 324,389.50 and 696,726.50

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Solution

The third proportional to 324,389.50 and 696,726.50 is: 1,496,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,389.50 : 696,726.50 = 696,726.50 : x
  2. Step 2: Convert to fraction form
    324,389.50/696,726.50 = 696,726.50/x
  3. Step 3: Cross multiply
    324,389.50x = 696,726.50 × 696,726.50
  4. Step 4: Simplify right side
    324,389.50x = 485,427,815,802.25
  5. Step 5: Solve for x
    x = 485,427,815,802.25/324,389.50
  6. Step 6: Final answer
    x = 1,496,435.04

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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.