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Finding the Third Proportional to 469,000 and 954,562.50

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Solution

The third proportional to 469,000 and 954,562.50 is: 1,942,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,000 : 954,562.50 = 954,562.50 : x
  2. Step 2: Convert to fraction form
    469,000/954,562.50 = 954,562.50/x
  3. Step 3: Cross multiply
    469,000x = 954,562.50 × 954,562.50
  4. Step 4: Simplify right side
    469,000x = 911,189,566,406.25
  5. Step 5: Solve for x
    x = 911,189,566,406.25/469,000
  6. Step 6: Final answer
    x = 1,942,834.90

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.