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Finding the Third Proportional to 348,750.56 and 729,045.56

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Solution

The third proportional to 348,750.56 and 729,045.56 is: 1,524,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,750.56 : 729,045.56 = 729,045.56 : x
  2. Step 2: Convert to fraction form
    348,750.56/729,045.56 = 729,045.56/x
  3. Step 3: Cross multiply
    348,750.56x = 729,045.56 × 729,045.56
  4. Step 4: Simplify right side
    348,750.56x = 531,507,432,200.94
  5. Step 5: Solve for x
    x = 531,507,432,200.94/348,750.56
  6. Step 6: Final answer
    x = 1,524,033.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.