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Finding the Third Proportional to 258,801.75 and 564,657.75

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Solution

The third proportional to 258,801.75 and 564,657.75 is: 1,231,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,801.75 : 564,657.75 = 564,657.75 : x
  2. Step 2: Convert to fraction form
    258,801.75/564,657.75 = 564,657.75/x
  3. Step 3: Cross multiply
    258,801.75x = 564,657.75 × 564,657.75
  4. Step 4: Simplify right side
    258,801.75x = 318,838,374,635.06
  5. Step 5: Solve for x
    x = 318,838,374,635.06/258,801.75
  6. Step 6: Final answer
    x = 1,231,979.21

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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.