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Finding the Third Proportional to 536,918 and 751,039

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Solution

The third proportional to 536,918 and 751,039 is: 1,050,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,918 : 751,039 = 751,039 : x
  2. Step 2: Convert to fraction form
    536,918/751,039 = 751,039/x
  3. Step 3: Cross multiply
    536,918x = 751,039 × 751,039
  4. Step 4: Simplify right side
    536,918x = 564,059,579,521
  5. Step 5: Solve for x
    x = 564,059,579,521/536,918
  6. Step 6: Final answer
    x = 1,050,550.70

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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.