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Finding the Third Proportional to 292,082 and 442,022

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Solution

The third proportional to 292,082 and 442,022 is: 668,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,082 : 442,022 = 442,022 : x
  2. Step 2: Convert to fraction form
    292,082/442,022 = 442,022/x
  3. Step 3: Cross multiply
    292,082x = 442,022 × 442,022
  4. Step 4: Simplify right side
    292,082x = 195,383,448,484
  5. Step 5: Solve for x
    x = 195,383,448,484/292,082
  6. Step 6: Final answer
    x = 668,933.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.