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Finding the Third Proportional to 443,251 and 938,567

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Solution

The third proportional to 443,251 and 938,567 is: 1,987,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,251 : 938,567 = 938,567 : x
  2. Step 2: Convert to fraction form
    443,251/938,567 = 938,567/x
  3. Step 3: Cross multiply
    443,251x = 938,567 × 938,567
  4. Step 4: Simplify right side
    443,251x = 880,908,013,489
  5. Step 5: Solve for x
    x = 880,908,013,489/443,251
  6. Step 6: Final answer
    x = 1,987,379.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.