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Finding the Third Proportional to 469,624.50 and 713,400.75

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Solution

The third proportional to 469,624.50 and 713,400.75 is: 1,083,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,624.50 : 713,400.75 = 713,400.75 : x
  2. Step 2: Convert to fraction form
    469,624.50/713,400.75 = 713,400.75/x
  3. Step 3: Cross multiply
    469,624.50x = 713,400.75 × 713,400.75
  4. Step 4: Simplify right side
    469,624.50x = 508,940,630,100.56
  5. Step 5: Solve for x
    x = 508,940,630,100.56/469,624.50
  6. Step 6: Final answer
    x = 1,083,718.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.