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Finding the Third Proportional to 275,360.50 and 402,470

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Solution

The third proportional to 275,360.50 and 402,470 is: 588,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,360.50 : 402,470 = 402,470 : x
  2. Step 2: Convert to fraction form
    275,360.50/402,470 = 402,470/x
  3. Step 3: Cross multiply
    275,360.50x = 402,470 × 402,470
  4. Step 4: Simplify right side
    275,360.50x = 161,982,100,900
  5. Step 5: Solve for x
    x = 161,982,100,900/275,360.50
  6. Step 6: Final answer
    x = 588,254.67

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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.