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Finding the Third Proportional to 529,188.19 and 794,974.50

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Solution

The third proportional to 529,188.19 and 794,974.50 is: 1,194,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,188.19 : 794,974.50 = 794,974.50 : x
  2. Step 2: Convert to fraction form
    529,188.19/794,974.50 = 794,974.50/x
  3. Step 3: Cross multiply
    529,188.19x = 794,974.50 × 794,974.50
  4. Step 4: Simplify right side
    529,188.19x = 631,984,455,650.25
  5. Step 5: Solve for x
    x = 631,984,455,650.25/529,188.19
  6. Step 6: Final answer
    x = 1,194,252.76

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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.