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Finding the Third Proportional to 238,706 and 520,036

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Solution

The third proportional to 238,706 and 520,036 is: 1,132,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,706 : 520,036 = 520,036 : x
  2. Step 2: Convert to fraction form
    238,706/520,036 = 520,036/x
  3. Step 3: Cross multiply
    238,706x = 520,036 × 520,036
  4. Step 4: Simplify right side
    238,706x = 270,437,441,296
  5. Step 5: Solve for x
    x = 270,437,441,296/238,706
  6. Step 6: Final answer
    x = 1,132,931.06

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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.