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Finding the Third Proportional to 586,504.50 and 1,277,980.50

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Solution

The third proportional to 586,504.50 and 1,277,980.50 is: 2,784,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,504.50 : 1,277,980.50 = 1,277,980.50 : x
  2. Step 2: Convert to fraction form
    586,504.50/1,277,980.50 = 1,277,980.50/x
  3. Step 3: Cross multiply
    586,504.50x = 1,277,980.50 × 1,277,980.50
  4. Step 4: Simplify right side
    586,504.50x = 1,633,234,158,380.25
  5. Step 5: Solve for x
    x = 1,633,234,158,380.25/586,504.50
  6. Step 6: Final answer
    x = 2,784,691.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.