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Finding the Third Proportional to 235,584 and 511,317

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Solution

The third proportional to 235,584 and 511,317 is: 1,109,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,584 : 511,317 = 511,317 : x
  2. Step 2: Convert to fraction form
    235,584/511,317 = 511,317/x
  3. Step 3: Cross multiply
    235,584x = 511,317 × 511,317
  4. Step 4: Simplify right side
    235,584x = 261,445,074,489
  5. Step 5: Solve for x
    x = 261,445,074,489/235,584
  6. Step 6: Final answer
    x = 1,109,774.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.