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Finding the Third Proportional to 421,529.50 and 632,303.75

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Solution

The third proportional to 421,529.50 and 632,303.75 is: 948,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,529.50 : 632,303.75 = 632,303.75 : x
  2. Step 2: Convert to fraction form
    421,529.50/632,303.75 = 632,303.75/x
  3. Step 3: Cross multiply
    421,529.50x = 632,303.75 × 632,303.75
  4. Step 4: Simplify right side
    421,529.50x = 399,808,032,264.06
  5. Step 5: Solve for x
    x = 399,808,032,264.06/421,529.50
  6. Step 6: Final answer
    x = 948,469.88

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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.