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Finding the Third Proportional to 209,052.75 and 458,706.75

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Solution

The third proportional to 209,052.75 and 458,706.75 is: 1,006,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,052.75 : 458,706.75 = 458,706.75 : x
  2. Step 2: Convert to fraction form
    209,052.75/458,706.75 = 458,706.75/x
  3. Step 3: Cross multiply
    209,052.75x = 458,706.75 × 458,706.75
  4. Step 4: Simplify right side
    209,052.75x = 210,411,882,495.56
  5. Step 5: Solve for x
    x = 210,411,882,495.56/209,052.75
  6. Step 6: Final answer
    x = 1,006,501.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.