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Finding the Third Proportional to 199,479.75 and 432,869.25

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Solution

The third proportional to 199,479.75 and 432,869.25 is: 939,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,479.75 : 432,869.25 = 432,869.25 : x
  2. Step 2: Convert to fraction form
    199,479.75/432,869.25 = 432,869.25/x
  3. Step 3: Cross multiply
    199,479.75x = 432,869.25 × 432,869.25
  4. Step 4: Simplify right side
    199,479.75x = 187,375,787,595.56
  5. Step 5: Solve for x
    x = 187,375,787,595.56/199,479.75
  6. Step 6: Final answer
    x = 939,322.35

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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.