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Finding the Third Proportional to 431,514 and 938,315

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Solution

The third proportional to 431,514 and 938,315 is: 2,040,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,514 : 938,315 = 938,315 : x
  2. Step 2: Convert to fraction form
    431,514/938,315 = 938,315/x
  3. Step 3: Cross multiply
    431,514x = 938,315 × 938,315
  4. Step 4: Simplify right side
    431,514x = 880,435,039,225
  5. Step 5: Solve for x
    x = 880,435,039,225/431,514
  6. Step 6: Final answer
    x = 2,040,339.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.