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Finding the Third Proportional to 530,985 and 796,322

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Solution

The third proportional to 530,985 and 796,322 is: 1,194,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,985 : 796,322 = 796,322 : x
  2. Step 2: Convert to fraction form
    530,985/796,322 = 796,322/x
  3. Step 3: Cross multiply
    530,985x = 796,322 × 796,322
  4. Step 4: Simplify right side
    530,985x = 634,128,727,684
  5. Step 5: Solve for x
    x = 634,128,727,684/530,985
  6. Step 6: Final answer
    x = 1,194,249.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.