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Finding the Third Proportional to 529,072 and 794,814

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Solution

The third proportional to 529,072 and 794,814 is: 1,194,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,072 : 794,814 = 794,814 : x
  2. Step 2: Convert to fraction form
    529,072/794,814 = 794,814/x
  3. Step 3: Cross multiply
    529,072x = 794,814 × 794,814
  4. Step 4: Simplify right side
    529,072x = 631,729,294,596
  5. Step 5: Solve for x
    x = 631,729,294,596/529,072
  6. Step 6: Final answer
    x = 1,194,032.75

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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.