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Finding the Third Proportional to 435,296 and 616,494

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Solution

The third proportional to 435,296 and 616,494 is: 873,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,296 : 616,494 = 616,494 : x
  2. Step 2: Convert to fraction form
    435,296/616,494 = 616,494/x
  3. Step 3: Cross multiply
    435,296x = 616,494 × 616,494
  4. Step 4: Simplify right side
    435,296x = 380,064,852,036
  5. Step 5: Solve for x
    x = 380,064,852,036/435,296
  6. Step 6: Final answer
    x = 873,118.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.