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Finding the Third Proportional to 259,402.50 and 564,255

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Solution

The third proportional to 259,402.50 and 564,255 is: 1,227,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402.50 : 564,255 = 564,255 : x
  2. Step 2: Convert to fraction form
    259,402.50/564,255 = 564,255/x
  3. Step 3: Cross multiply
    259,402.50x = 564,255 × 564,255
  4. Step 4: Simplify right side
    259,402.50x = 318,383,705,025
  5. Step 5: Solve for x
    x = 318,383,705,025/259,402.50
  6. Step 6: Final answer
    x = 1,227,373.31

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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.