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Finding the Third Proportional to 209,995.50 and 460,815

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Solution

The third proportional to 209,995.50 and 460,815 is: 1,011,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,995.50 : 460,815 = 460,815 : x
  2. Step 2: Convert to fraction form
    209,995.50/460,815 = 460,815/x
  3. Step 3: Cross multiply
    209,995.50x = 460,815 × 460,815
  4. Step 4: Simplify right side
    209,995.50x = 212,350,464,225
  5. Step 5: Solve for x
    x = 212,350,464,225/209,995.50
  6. Step 6: Final answer
    x = 1,011,214.36

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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.