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Finding the Third Proportional to 529,092 and 728,842.50

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Solution

The third proportional to 529,092 and 728,842.50 is: 1,004,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,092 : 728,842.50 = 728,842.50 : x
  2. Step 2: Convert to fraction form
    529,092/728,842.50 = 728,842.50/x
  3. Step 3: Cross multiply
    529,092x = 728,842.50 × 728,842.50
  4. Step 4: Simplify right side
    529,092x = 531,211,389,806.25
  5. Step 5: Solve for x
    x = 531,211,389,806.25/529,092
  6. Step 6: Final answer
    x = 1,004,005.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.