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Finding the Third Proportional to 375,391.50 and 809,835

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Solution

The third proportional to 375,391.50 and 809,835 is: 1,747,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,391.50 : 809,835 = 809,835 : x
  2. Step 2: Convert to fraction form
    375,391.50/809,835 = 809,835/x
  3. Step 3: Cross multiply
    375,391.50x = 809,835 × 809,835
  4. Step 4: Simplify right side
    375,391.50x = 655,832,727,225
  5. Step 5: Solve for x
    x = 655,832,727,225/375,391.50
  6. Step 6: Final answer
    x = 1,747,063.34

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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.