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Finding the Third Proportional to 536,920 and 751,042

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Solution

The third proportional to 536,920 and 751,042 is: 1,050,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,920 : 751,042 = 751,042 : x
  2. Step 2: Convert to fraction form
    536,920/751,042 = 751,042/x
  3. Step 3: Cross multiply
    536,920x = 751,042 × 751,042
  4. Step 4: Simplify right side
    536,920x = 564,064,085,764
  5. Step 5: Solve for x
    x = 564,064,085,764/536,920
  6. Step 6: Final answer
    x = 1,050,555.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.