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Finding the Third Proportional to 447,863 and 671,514

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Solution

The third proportional to 447,863 and 671,514 is: 1,006,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,863 : 671,514 = 671,514 : x
  2. Step 2: Convert to fraction form
    447,863/671,514 = 671,514/x
  3. Step 3: Cross multiply
    447,863x = 671,514 × 671,514
  4. Step 4: Simplify right side
    447,863x = 450,931,052,196
  5. Step 5: Solve for x
    x = 450,931,052,196/447,863
  6. Step 6: Final answer
    x = 1,006,850.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.