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Finding the Third Proportional to 277,966.69 and 580,056.19

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Solution

The third proportional to 277,966.69 and 580,056.19 is: 1,210,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,966.69 : 580,056.19 = 580,056.19 : x
  2. Step 2: Convert to fraction form
    277,966.69/580,056.19 = 580,056.19/x
  3. Step 3: Cross multiply
    277,966.69x = 580,056.19 × 580,056.19
  4. Step 4: Simplify right side
    277,966.69x = 336,465,180,657.04
  5. Step 5: Solve for x
    x = 336,465,180,657.04/277,966.69
  6. Step 6: Final answer
    x = 1,210,451.45

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.