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Finding the Third Proportional to 277,857.21 and 577,516.08

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Solution

The third proportional to 277,857.21 and 577,516.08 is: 1,200,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,857.21 : 577,516.08 = 577,516.08 : x
  2. Step 2: Convert to fraction form
    277,857.21/577,516.08 = 577,516.08/x
  3. Step 3: Cross multiply
    277,857.21x = 577,516.08 × 577,516.08
  4. Step 4: Simplify right side
    277,857.21x = 333,524,820,492.88
  5. Step 5: Solve for x
    x = 333,524,820,492.88/277,857.21
  6. Step 6: Final answer
    x = 1,200,346.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.