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Finding the Third Proportional to 529,074 and 794,817

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Solution

The third proportional to 529,074 and 794,817 is: 1,194,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,074 : 794,817 = 794,817 : x
  2. Step 2: Convert to fraction form
    529,074/794,817 = 794,817/x
  3. Step 3: Cross multiply
    529,074x = 794,817 × 794,817
  4. Step 4: Simplify right side
    529,074x = 631,734,063,489
  5. Step 5: Solve for x
    x = 631,734,063,489/529,074
  6. Step 6: Final answer
    x = 1,194,037.25

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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.