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Finding the Third Proportional to 256,533 and 556,867.50

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Solution

The third proportional to 256,533 and 556,867.50 is: 1,208,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,533 : 556,867.50 = 556,867.50 : x
  2. Step 2: Convert to fraction form
    256,533/556,867.50 = 556,867.50/x
  3. Step 3: Cross multiply
    256,533x = 556,867.50 × 556,867.50
  4. Step 4: Simplify right side
    256,533x = 310,101,412,556.25
  5. Step 5: Solve for x
    x = 310,101,412,556.25/256,533
  6. Step 6: Final answer
    x = 1,208,816.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.