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Finding the Third Proportional to 238,833 and 521,955

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Solution

The third proportional to 238,833 and 521,955 is: 1,140,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,833 : 521,955 = 521,955 : x
  2. Step 2: Convert to fraction form
    238,833/521,955 = 521,955/x
  3. Step 3: Cross multiply
    238,833x = 521,955 × 521,955
  4. Step 4: Simplify right side
    238,833x = 272,437,022,025
  5. Step 5: Solve for x
    x = 272,437,022,025/238,833
  6. Step 6: Final answer
    x = 1,140,700.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.