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Finding the Third Proportional to 340,812.56 and 738,036.56

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Solution

The third proportional to 340,812.56 and 738,036.56 is: 1,598,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,812.56 : 738,036.56 = 738,036.56 : x
  2. Step 2: Convert to fraction form
    340,812.56/738,036.56 = 738,036.56/x
  3. Step 3: Cross multiply
    340,812.56x = 738,036.56 × 738,036.56
  4. Step 4: Simplify right side
    340,812.56x = 544,697,967,586.82
  5. Step 5: Solve for x
    x = 544,697,967,586.82/340,812.56
  6. Step 6: Final answer
    x = 1,598,233.24

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Why These Related Problems?

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