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Finding the Third Proportional to 328,336.50 and 707,946

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Solution

The third proportional to 328,336.50 and 707,946 is: 1,526,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,336.50 : 707,946 = 707,946 : x
  2. Step 2: Convert to fraction form
    328,336.50/707,946 = 707,946/x
  3. Step 3: Cross multiply
    328,336.50x = 707,946 × 707,946
  4. Step 4: Simplify right side
    328,336.50x = 501,187,538,916
  5. Step 5: Solve for x
    x = 501,187,538,916/328,336.50
  6. Step 6: Final answer
    x = 1,526,444.79

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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.