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Finding the Third Proportional to 269,803 and 389,785

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Solution

The third proportional to 269,803 and 389,785 is: 563,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,803 : 389,785 = 389,785 : x
  2. Step 2: Convert to fraction form
    269,803/389,785 = 389,785/x
  3. Step 3: Cross multiply
    269,803x = 389,785 × 389,785
  4. Step 4: Simplify right side
    269,803x = 151,932,346,225
  5. Step 5: Solve for x
    x = 151,932,346,225/269,803
  6. Step 6: Final answer
    x = 563,123.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.