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Finding the Third Proportional to 443,444.44 and 685,114.31

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Solution

The third proportional to 443,444.44 and 685,114.31 is: 1,058,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,444.44 : 685,114.31 = 685,114.31 : x
  2. Step 2: Convert to fraction form
    443,444.44/685,114.31 = 685,114.31/x
  3. Step 3: Cross multiply
    443,444.44x = 685,114.31 × 685,114.31
  4. Step 4: Simplify right side
    443,444.44x = 469,381,621,192.35
  5. Step 5: Solve for x
    x = 469,381,621,192.35/443,444.44
  6. Step 6: Final answer
    x = 1,058,490.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.