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Finding the Third Proportional to 529,190 and 794,978

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Solution

The third proportional to 529,190 and 794,978 is: 1,194,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,190 : 794,978 = 794,978 : x
  2. Step 2: Convert to fraction form
    529,190/794,978 = 794,978/x
  3. Step 3: Cross multiply
    529,190x = 794,978 × 794,978
  4. Step 4: Simplify right side
    529,190x = 631,990,020,484
  5. Step 5: Solve for x
    x = 631,990,020,484/529,190
  6. Step 6: Final answer
    x = 1,194,259.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.