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Finding the Third Proportional to 233,561.11 and 505,860.89

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Solution

The third proportional to 233,561.11 and 505,860.89 is: 1,095,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,561.11 : 505,860.89 = 505,860.89 : x
  2. Step 2: Convert to fraction form
    233,561.11/505,860.89 = 505,860.89/x
  3. Step 3: Cross multiply
    233,561.11x = 505,860.89 × 505,860.89
  4. Step 4: Simplify right side
    233,561.11x = 255,895,240,663.92
  5. Step 5: Solve for x
    x = 255,895,240,663.92/233,561.11
  6. Step 6: Final answer
    x = 1,095,624.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.