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Finding the Third Proportional to 235,896 and 524,496

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Solution

The third proportional to 235,896 and 524,496 is: 1,166,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,896 : 524,496 = 524,496 : x
  2. Step 2: Convert to fraction form
    235,896/524,496 = 524,496/x
  3. Step 3: Cross multiply
    235,896x = 524,496 × 524,496
  4. Step 4: Simplify right side
    235,896x = 275,096,054,016
  5. Step 5: Solve for x
    x = 275,096,054,016/235,896
  6. Step 6: Final answer
    x = 1,166,175.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.