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Finding the Third Proportional to 439,042 and 958,436

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Solution

The third proportional to 439,042 and 958,436 is: 2,092,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,042 : 958,436 = 958,436 : x
  2. Step 2: Convert to fraction form
    439,042/958,436 = 958,436/x
  3. Step 3: Cross multiply
    439,042x = 958,436 × 958,436
  4. Step 4: Simplify right side
    439,042x = 918,599,566,096
  5. Step 5: Solve for x
    x = 918,599,566,096/439,042
  6. Step 6: Final answer
    x = 2,092,281.75

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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.