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Finding the Third Proportional to 421,945 and 563,648

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Solution

The third proportional to 421,945 and 563,648 is: 752,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,945 : 563,648 = 563,648 : x
  2. Step 2: Convert to fraction form
    421,945/563,648 = 563,648/x
  3. Step 3: Cross multiply
    421,945x = 563,648 × 563,648
  4. Step 4: Simplify right side
    421,945x = 317,699,067,904
  5. Step 5: Solve for x
    x = 317,699,067,904/421,945
  6. Step 6: Final answer
    x = 752,939.53

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Why These Related Problems?

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