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Finding the Third Proportional to 325,677.38 and 707,058

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Solution

The third proportional to 325,677.38 and 707,058 is: 1,535,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,677.38 : 707,058 = 707,058 : x
  2. Step 2: Convert to fraction form
    325,677.38/707,058 = 707,058/x
  3. Step 3: Cross multiply
    325,677.38x = 707,058 × 707,058
  4. Step 4: Simplify right side
    325,677.38x = 499,931,015,364
  5. Step 5: Solve for x
    x = 499,931,015,364/325,677.38
  6. Step 6: Final answer
    x = 1,535,049.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.