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Finding the Third Proportional to 324,162 and 705,064.50

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Solution

The third proportional to 324,162 and 705,064.50 is: 1,533,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,162 : 705,064.50 = 705,064.50 : x
  2. Step 2: Convert to fraction form
    324,162/705,064.50 = 705,064.50/x
  3. Step 3: Cross multiply
    324,162x = 705,064.50 × 705,064.50
  4. Step 4: Simplify right side
    324,162x = 497,115,949,160.25
  5. Step 5: Solve for x
    x = 497,115,949,160.25/324,162
  6. Step 6: Final answer
    x = 1,533,541.71

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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.