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Finding the Third Proportional to 200,351 and 423,058

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Solution

The third proportional to 200,351 and 423,058 is: 893,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,351 : 423,058 = 423,058 : x
  2. Step 2: Convert to fraction form
    200,351/423,058 = 423,058/x
  3. Step 3: Cross multiply
    200,351x = 423,058 × 423,058
  4. Step 4: Simplify right side
    200,351x = 178,978,071,364
  5. Step 5: Solve for x
    x = 178,978,071,364/200,351
  6. Step 6: Final answer
    x = 893,322.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.