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Finding the Third Proportional to 529,129.50 and 794,900.25

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Solution

The third proportional to 529,129.50 and 794,900.25 is: 1,194,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,129.50 : 794,900.25 = 794,900.25 : x
  2. Step 2: Convert to fraction form
    529,129.50/794,900.25 = 794,900.25/x
  3. Step 3: Cross multiply
    529,129.50x = 794,900.25 × 794,900.25
  4. Step 4: Simplify right side
    529,129.50x = 631,866,407,450.06
  5. Step 5: Solve for x
    x = 631,866,407,450.06/529,129.50
  6. Step 6: Final answer
    x = 1,194,162.12

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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.