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Finding the Third Proportional to 375,006 and 809,880

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Solution

The third proportional to 375,006 and 809,880 is: 1,749,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,006 : 809,880 = 809,880 : x
  2. Step 2: Convert to fraction form
    375,006/809,880 = 809,880/x
  3. Step 3: Cross multiply
    375,006x = 809,880 × 809,880
  4. Step 4: Simplify right side
    375,006x = 655,905,614,400
  5. Step 5: Solve for x
    x = 655,905,614,400/375,006
  6. Step 6: Final answer
    x = 1,749,053.65

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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.