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Finding the Third Proportional to 421,254 and 913,443.75

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Solution

The third proportional to 421,254 and 913,443.75 is: 1,980,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,254 : 913,443.75 = 913,443.75 : x
  2. Step 2: Convert to fraction form
    421,254/913,443.75 = 913,443.75/x
  3. Step 3: Cross multiply
    421,254x = 913,443.75 × 913,443.75
  4. Step 4: Simplify right side
    421,254x = 834,379,484,414.06
  5. Step 5: Solve for x
    x = 834,379,484,414.06/421,254
  6. Step 6: Final answer
    x = 1,980,704.00

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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.