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Finding the Third Proportional to 261,928 and 571,833

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Solution

The third proportional to 261,928 and 571,833 is: 1,248,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,928 : 571,833 = 571,833 : x
  2. Step 2: Convert to fraction form
    261,928/571,833 = 571,833/x
  3. Step 3: Cross multiply
    261,928x = 571,833 × 571,833
  4. Step 4: Simplify right side
    261,928x = 326,992,979,889
  5. Step 5: Solve for x
    x = 326,992,979,889/261,928
  6. Step 6: Final answer
    x = 1,248,407.88

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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.