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Finding the Third Proportional to 421,568 and 632,364

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Solution

The third proportional to 421,568 and 632,364 is: 948,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,568 : 632,364 = 632,364 : x
  2. Step 2: Convert to fraction form
    421,568/632,364 = 632,364/x
  3. Step 3: Cross multiply
    421,568x = 632,364 × 632,364
  4. Step 4: Simplify right side
    421,568x = 399,884,228,496
  5. Step 5: Solve for x
    x = 399,884,228,496/421,568
  6. Step 6: Final answer
    x = 948,564.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.