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Finding the Third Proportional to 277,080.75 and 596,903.63

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Solution

The third proportional to 277,080.75 and 596,903.63 is: 1,285,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,080.75 : 596,903.63 = 596,903.63 : x
  2. Step 2: Convert to fraction form
    277,080.75/596,903.63 = 596,903.63/x
  3. Step 3: Cross multiply
    277,080.75x = 596,903.63 × 596,903.63
  4. Step 4: Simplify right side
    277,080.75x = 356,293,937,538.14
  5. Step 5: Solve for x
    x = 356,293,937,538.14/277,080.75
  6. Step 6: Final answer
    x = 1,285,884.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.