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Finding the Third Proportional to 340,388 and 476,996

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Solution

The third proportional to 340,388 and 476,996 is: 668,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,388 : 476,996 = 476,996 : x
  2. Step 2: Convert to fraction form
    340,388/476,996 = 476,996/x
  3. Step 3: Cross multiply
    340,388x = 476,996 × 476,996
  4. Step 4: Simplify right side
    340,388x = 227,525,184,016
  5. Step 5: Solve for x
    x = 227,525,184,016/340,388
  6. Step 6: Final answer
    x = 668,428.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.