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Finding the Third Proportional to 384,345 and 547,512.75

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Solution

The third proportional to 384,345 and 547,512.75 is: 779,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,345 : 547,512.75 = 547,512.75 : x
  2. Step 2: Convert to fraction form
    384,345/547,512.75 = 547,512.75/x
  3. Step 3: Cross multiply
    384,345x = 547,512.75 × 547,512.75
  4. Step 4: Simplify right side
    384,345x = 299,770,211,412.56
  5. Step 5: Solve for x
    x = 299,770,211,412.56/384,345
  6. Step 6: Final answer
    x = 779,950.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.