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Finding the Third Proportional to 346,138.31 and 747,635.06

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Solution

The third proportional to 346,138.31 and 747,635.06 is: 1,614,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,138.31 : 747,635.06 = 747,635.06 : x
  2. Step 2: Convert to fraction form
    346,138.31/747,635.06 = 747,635.06/x
  3. Step 3: Cross multiply
    346,138.31x = 747,635.06 × 747,635.06
  4. Step 4: Simplify right side
    346,138.31x = 558,958,186,679.38
  5. Step 5: Solve for x
    x = 558,958,186,679.38/346,138.31
  6. Step 6: Final answer
    x = 1,614,840.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.