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Finding the Third Proportional to 237,679 and 528,496

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Solution

The third proportional to 237,679 and 528,496 is: 1,175,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,679 : 528,496 = 528,496 : x
  2. Step 2: Convert to fraction form
    237,679/528,496 = 528,496/x
  3. Step 3: Cross multiply
    237,679x = 528,496 × 528,496
  4. Step 4: Simplify right side
    237,679x = 279,308,022,016
  5. Step 5: Solve for x
    x = 279,308,022,016/237,679
  6. Step 6: Final answer
    x = 1,175,148.09

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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.