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Finding the Third Proportional to 536,914 and 751,037

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Solution

The third proportional to 536,914 and 751,037 is: 1,050,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,914 : 751,037 = 751,037 : x
  2. Step 2: Convert to fraction form
    536,914/751,037 = 751,037/x
  3. Step 3: Cross multiply
    536,914x = 751,037 × 751,037
  4. Step 4: Simplify right side
    536,914x = 564,056,575,369
  5. Step 5: Solve for x
    x = 564,056,575,369/536,914
  6. Step 6: Final answer
    x = 1,050,552.93

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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.