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Finding the Third Proportional to 516,048 and 781,857

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Solution

The third proportional to 516,048 and 781,857 is: 1,184,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,048 : 781,857 = 781,857 : x
  2. Step 2: Convert to fraction form
    516,048/781,857 = 781,857/x
  3. Step 3: Cross multiply
    516,048x = 781,857 × 781,857
  4. Step 4: Simplify right side
    516,048x = 611,300,368,449
  5. Step 5: Solve for x
    x = 611,300,368,449/516,048
  6. Step 6: Final answer
    x = 1,184,580.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.