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Finding the Third Proportional to 413,125.50 and 875,847

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Solution

The third proportional to 413,125.50 and 875,847 is: 1,856,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,125.50 : 875,847 = 875,847 : x
  2. Step 2: Convert to fraction form
    413,125.50/875,847 = 875,847/x
  3. Step 3: Cross multiply
    413,125.50x = 875,847 × 875,847
  4. Step 4: Simplify right side
    413,125.50x = 767,107,967,409
  5. Step 5: Solve for x
    x = 767,107,967,409/413,125.50
  6. Step 6: Final answer
    x = 1,856,840.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.