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Finding the Third Proportional to 430,469 and 938,443

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Solution

The third proportional to 430,469 and 938,443 is: 2,045,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,469 : 938,443 = 938,443 : x
  2. Step 2: Convert to fraction form
    430,469/938,443 = 938,443/x
  3. Step 3: Cross multiply
    430,469x = 938,443 × 938,443
  4. Step 4: Simplify right side
    430,469x = 880,675,264,249
  5. Step 5: Solve for x
    x = 880,675,264,249/430,469
  6. Step 6: Final answer
    x = 2,045,850.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.