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Finding the Third Proportional to 256,392 and 559,224

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Solution

The third proportional to 256,392 and 559,224 is: 1,219,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,392 : 559,224 = 559,224 : x
  2. Step 2: Convert to fraction form
    256,392/559,224 = 559,224/x
  3. Step 3: Cross multiply
    256,392x = 559,224 × 559,224
  4. Step 4: Simplify right side
    256,392x = 312,731,482,176
  5. Step 5: Solve for x
    x = 312,731,482,176/256,392
  6. Step 6: Final answer
    x = 1,219,739.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.