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Finding the Third Proportional to 277,966.69 and 566,043.19

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Solution

The third proportional to 277,966.69 and 566,043.19 is: 1,152,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,966.69 : 566,043.19 = 566,043.19 : x
  2. Step 2: Convert to fraction form
    277,966.69/566,043.19 = 566,043.19/x
  3. Step 3: Cross multiply
    277,966.69x = 566,043.19 × 566,043.19
  4. Step 4: Simplify right side
    277,966.69x = 320,404,890,115.16
  5. Step 5: Solve for x
    x = 320,404,890,115.16/277,966.69
  6. Step 6: Final answer
    x = 1,152,673.70

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Why These Related Problems?

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