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Finding the Third Proportional to 442,218 and 701,361

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Solution

The third proportional to 442,218 and 701,361 is: 1,112,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,218 : 701,361 = 701,361 : x
  2. Step 2: Convert to fraction form
    442,218/701,361 = 701,361/x
  3. Step 3: Cross multiply
    442,218x = 701,361 × 701,361
  4. Step 4: Simplify right side
    442,218x = 491,907,252,321
  5. Step 5: Solve for x
    x = 491,907,252,321/442,218
  6. Step 6: Final answer
    x = 1,112,363.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.