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Finding the Third Proportional to 259,771.50 and 539,955

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Solution

The third proportional to 259,771.50 and 539,955 is: 1,122,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,771.50 : 539,955 = 539,955 : x
  2. Step 2: Convert to fraction form
    259,771.50/539,955 = 539,955/x
  3. Step 3: Cross multiply
    259,771.50x = 539,955 × 539,955
  4. Step 4: Simplify right side
    259,771.50x = 291,551,402,025
  5. Step 5: Solve for x
    x = 291,551,402,025/259,771.50
  6. Step 6: Final answer
    x = 1,122,337.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.