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Finding the Third Proportional to 256,357.41 and 561,041.44

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Solution

The third proportional to 256,357.41 and 561,041.44 is: 1,227,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,357.41 : 561,041.44 = 561,041.44 : x
  2. Step 2: Convert to fraction form
    256,357.41/561,041.44 = 561,041.44/x
  3. Step 3: Cross multiply
    256,357.41x = 561,041.44 × 561,041.44
  4. Step 4: Simplify right side
    256,357.41x = 314,767,494,592.07
  5. Step 5: Solve for x
    x = 314,767,494,592.07/256,357.41
  6. Step 6: Final answer
    x = 1,227,846.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.