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Finding the Third Proportional to 567,529 and 846,372

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Solution

The third proportional to 567,529 and 846,372 is: 1,262,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,529 : 846,372 = 846,372 : x
  2. Step 2: Convert to fraction form
    567,529/846,372 = 846,372/x
  3. Step 3: Cross multiply
    567,529x = 846,372 × 846,372
  4. Step 4: Simplify right side
    567,529x = 716,345,562,384
  5. Step 5: Solve for x
    x = 716,345,562,384/567,529
  6. Step 6: Final answer
    x = 1,262,218.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.