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Finding the Third Proportional to 375,469 and 782,002

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Solution

The third proportional to 375,469 and 782,002 is: 1,628,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,469 : 782,002 = 782,002 : x
  2. Step 2: Convert to fraction form
    375,469/782,002 = 782,002/x
  3. Step 3: Cross multiply
    375,469x = 782,002 × 782,002
  4. Step 4: Simplify right side
    375,469x = 611,527,128,004
  5. Step 5: Solve for x
    x = 611,527,128,004/375,469
  6. Step 6: Final answer
    x = 1,628,702.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.