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Finding the Third Proportional to 499,732 and 790,622

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Solution

The third proportional to 499,732 and 790,622 is: 1,250,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,732 : 790,622 = 790,622 : x
  2. Step 2: Convert to fraction form
    499,732/790,622 = 790,622/x
  3. Step 3: Cross multiply
    499,732x = 790,622 × 790,622
  4. Step 4: Simplify right side
    499,732x = 625,083,146,884
  5. Step 5: Solve for x
    x = 625,083,146,884/499,732
  6. Step 6: Final answer
    x = 1,250,836.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.