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Finding the Third Proportional to 364,803.75 and 548,374.50

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Solution

The third proportional to 364,803.75 and 548,374.50 is: 824,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,803.75 : 548,374.50 = 548,374.50 : x
  2. Step 2: Convert to fraction form
    364,803.75/548,374.50 = 548,374.50/x
  3. Step 3: Cross multiply
    364,803.75x = 548,374.50 × 548,374.50
  4. Step 4: Simplify right side
    364,803.75x = 300,714,592,250.25
  5. Step 5: Solve for x
    x = 300,714,592,250.25/364,803.75
  6. Step 6: Final answer
    x = 824,318.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.