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Finding the Third Proportional to 321,393 and 705,832.50

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Solution

The third proportional to 321,393 and 705,832.50 is: 1,550,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,393 : 705,832.50 = 705,832.50 : x
  2. Step 2: Convert to fraction form
    321,393/705,832.50 = 705,832.50/x
  3. Step 3: Cross multiply
    321,393x = 705,832.50 × 705,832.50
  4. Step 4: Simplify right side
    321,393x = 498,199,518,056.25
  5. Step 5: Solve for x
    x = 498,199,518,056.25/321,393
  6. Step 6: Final answer
    x = 1,550,125.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.