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Finding the Third Proportional to 345,606.75 and 708,432.75

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Solution

The third proportional to 345,606.75 and 708,432.75 is: 1,452,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,606.75 : 708,432.75 = 708,432.75 : x
  2. Step 2: Convert to fraction form
    345,606.75/708,432.75 = 708,432.75/x
  3. Step 3: Cross multiply
    345,606.75x = 708,432.75 × 708,432.75
  4. Step 4: Simplify right side
    345,606.75x = 501,876,961,272.56
  5. Step 5: Solve for x
    x = 501,876,961,272.56/345,606.75
  6. Step 6: Final answer
    x = 1,452,161.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.