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Finding the Third Proportional to 269,487 and 571,833

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Solution

The third proportional to 269,487 and 571,833 is: 1,213,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,487 : 571,833 = 571,833 : x
  2. Step 2: Convert to fraction form
    269,487/571,833 = 571,833/x
  3. Step 3: Cross multiply
    269,487x = 571,833 × 571,833
  4. Step 4: Simplify right side
    269,487x = 326,992,979,889
  5. Step 5: Solve for x
    x = 326,992,979,889/269,487
  6. Step 6: Final answer
    x = 1,213,390.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.