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Finding the Third Proportional to 529,185 and 794,970

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Solution

The third proportional to 529,185 and 794,970 is: 1,194,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,185 : 794,970 = 794,970 : x
  2. Step 2: Convert to fraction form
    529,185/794,970 = 794,970/x
  3. Step 3: Cross multiply
    529,185x = 794,970 × 794,970
  4. Step 4: Simplify right side
    529,185x = 631,977,300,900
  5. Step 5: Solve for x
    x = 631,977,300,900/529,185
  6. Step 6: Final answer
    x = 1,194,246.44

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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.