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Finding the Third Proportional to 421,913 and 563,601

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Solution

The third proportional to 421,913 and 563,601 is: 752,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,913 : 563,601 = 563,601 : x
  2. Step 2: Convert to fraction form
    421,913/563,601 = 563,601/x
  3. Step 3: Cross multiply
    421,913x = 563,601 × 563,601
  4. Step 4: Simplify right side
    421,913x = 317,646,087,201
  5. Step 5: Solve for x
    x = 317,646,087,201/421,913
  6. Step 6: Final answer
    x = 752,871.06

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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.