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Finding the Third Proportional to 261,040.50 and 552,967

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Solution

The third proportional to 261,040.50 and 552,967 is: 1,171,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,040.50 : 552,967 = 552,967 : x
  2. Step 2: Convert to fraction form
    261,040.50/552,967 = 552,967/x
  3. Step 3: Cross multiply
    261,040.50x = 552,967 × 552,967
  4. Step 4: Simplify right side
    261,040.50x = 305,772,503,089
  5. Step 5: Solve for x
    x = 305,772,503,089/261,040.50
  6. Step 6: Final answer
    x = 1,171,360.39

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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.