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Finding the Third Proportional to 274,969.50 and 402,610

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Solution

The third proportional to 274,969.50 and 402,610 is: 589,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,969.50 : 402,610 = 402,610 : x
  2. Step 2: Convert to fraction form
    274,969.50/402,610 = 402,610/x
  3. Step 3: Cross multiply
    274,969.50x = 402,610 × 402,610
  4. Step 4: Simplify right side
    274,969.50x = 162,094,812,100
  5. Step 5: Solve for x
    x = 162,094,812,100/274,969.50
  6. Step 6: Final answer
    x = 589,501.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.