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Finding the Third Proportional to 539,230.50 and 825,207.75

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Solution

The third proportional to 539,230.50 and 825,207.75 is: 1,262,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,230.50 : 825,207.75 = 825,207.75 : x
  2. Step 2: Convert to fraction form
    539,230.50/825,207.75 = 825,207.75/x
  3. Step 3: Cross multiply
    539,230.50x = 825,207.75 × 825,207.75
  4. Step 4: Simplify right side
    539,230.50x = 680,967,830,660.06
  5. Step 5: Solve for x
    x = 680,967,830,660.06/539,230.50
  6. Step 6: Final answer
    x = 1,262,851.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.