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Finding the Third Proportional to 383,619.16 and 558,562.08

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Solution

The third proportional to 383,619.16 and 558,562.08 is: 813,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,619.16 : 558,562.08 = 558,562.08 : x
  2. Step 2: Convert to fraction form
    383,619.16/558,562.08 = 558,562.08/x
  3. Step 3: Cross multiply
    383,619.16x = 558,562.08 × 558,562.08
  4. Step 4: Simplify right side
    383,619.16x = 311,991,595,119.32
  5. Step 5: Solve for x
    x = 311,991,595,119.32/383,619.16
  6. Step 6: Final answer
    x = 813,284.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.