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Finding the Third Proportional to 421,936.50 and 563,636.25

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Solution

The third proportional to 421,936.50 and 563,636.25 is: 752,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,936.50 : 563,636.25 = 563,636.25 : x
  2. Step 2: Convert to fraction form
    421,936.50/563,636.25 = 563,636.25/x
  3. Step 3: Cross multiply
    421,936.50x = 563,636.25 × 563,636.25
  4. Step 4: Simplify right side
    421,936.50x = 317,685,822,314.06
  5. Step 5: Solve for x
    x = 317,685,822,314.06/421,936.50
  6. Step 6: Final answer
    x = 752,923.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.