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Finding the Third Proportional to 465,820.88 and 705,717.56

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Solution

The third proportional to 465,820.88 and 705,717.56 is: 1,069,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,820.88 : 705,717.56 = 705,717.56 : x
  2. Step 2: Convert to fraction form
    465,820.88/705,717.56 = 705,717.56/x
  3. Step 3: Cross multiply
    465,820.88x = 705,717.56 × 705,717.56
  4. Step 4: Simplify right side
    465,820.88x = 498,037,278,020.94
  5. Step 5: Solve for x
    x = 498,037,278,020.94/465,820.88
  6. Step 6: Final answer
    x = 1,069,160.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.