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Finding the Third Proportional to 835,231.50 and 1,302,753.38

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Solution

The third proportional to 835,231.50 and 1,302,753.38 is: 2,031,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,231.50 : 1,302,753.38 = 1,302,753.38 : x
  2. Step 2: Convert to fraction form
    835,231.50/1,302,753.38 = 1,302,753.38/x
  3. Step 3: Cross multiply
    835,231.50x = 1,302,753.38 × 1,302,753.38
  4. Step 4: Simplify right side
    835,231.50x = 1,697,166,356,073.89
  5. Step 5: Solve for x
    x = 1,697,166,356,073.89/835,231.50
  6. Step 6: Final answer
    x = 2,031,971.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.