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Finding the Third Proportional to 421,132.50 and 913,194

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Solution

The third proportional to 421,132.50 and 913,194 is: 1,980,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,132.50 : 913,194 = 913,194 : x
  2. Step 2: Convert to fraction form
    421,132.50/913,194 = 913,194/x
  3. Step 3: Cross multiply
    421,132.50x = 913,194 × 913,194
  4. Step 4: Simplify right side
    421,132.50x = 833,923,281,636
  5. Step 5: Solve for x
    x = 833,923,281,636/421,132.50
  6. Step 6: Final answer
    x = 1,980,192.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.