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Finding the Third Proportional to 362,647.13 and 781,012.13

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Solution

The third proportional to 362,647.13 and 781,012.13 is: 1,682,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,647.13 : 781,012.13 = 781,012.13 : x
  2. Step 2: Convert to fraction form
    362,647.13/781,012.13 = 781,012.13/x
  3. Step 3: Cross multiply
    362,647.13x = 781,012.13 × 781,012.13
  4. Step 4: Simplify right side
    362,647.13x = 609,979,939,397.02
  5. Step 5: Solve for x
    x = 609,979,939,397.02/362,647.13
  6. Step 6: Final answer
    x = 1,682,020.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.