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Finding the Third Proportional to 250,479.84 and 509,707.69

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Solution

The third proportional to 250,479.84 and 509,707.69 is: 1,037,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,479.84 : 509,707.69 = 509,707.69 : x
  2. Step 2: Convert to fraction form
    250,479.84/509,707.69 = 509,707.69/x
  3. Step 3: Cross multiply
    250,479.84x = 509,707.69 × 509,707.69
  4. Step 4: Simplify right side
    250,479.84x = 259,801,926,696.60
  5. Step 5: Solve for x
    x = 259,801,926,696.60/250,479.84
  6. Step 6: Final answer
    x = 1,037,216.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.