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Finding the Third Proportional to 229,581 and 496,050.75

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Solution

The third proportional to 229,581 and 496,050.75 is: 1,071,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,581 : 496,050.75 = 496,050.75 : x
  2. Step 2: Convert to fraction form
    229,581/496,050.75 = 496,050.75/x
  3. Step 3: Cross multiply
    229,581x = 496,050.75 × 496,050.75
  4. Step 4: Simplify right side
    229,581x = 246,066,346,575.56
  5. Step 5: Solve for x
    x = 246,066,346,575.56/229,581
  6. Step 6: Final answer
    x = 1,071,806.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.