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Finding the Third Proportional to 233,622 and 502,785

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Solution

The third proportional to 233,622 and 502,785 is: 1,082,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,622 : 502,785 = 502,785 : x
  2. Step 2: Convert to fraction form
    233,622/502,785 = 502,785/x
  3. Step 3: Cross multiply
    233,622x = 502,785 × 502,785
  4. Step 4: Simplify right side
    233,622x = 252,792,756,225
  5. Step 5: Solve for x
    x = 252,792,756,225/233,622
  6. Step 6: Final answer
    x = 1,082,058.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.