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Finding the Third Proportional to 362,417.63 and 771,491.25

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Solution

The third proportional to 362,417.63 and 771,491.25 is: 1,642,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,417.63 : 771,491.25 = 771,491.25 : x
  2. Step 2: Convert to fraction form
    362,417.63/771,491.25 = 771,491.25/x
  3. Step 3: Cross multiply
    362,417.63x = 771,491.25 × 771,491.25
  4. Step 4: Simplify right side
    362,417.63x = 595,198,748,826.56
  5. Step 5: Solve for x
    x = 595,198,748,826.56/362,417.63
  6. Step 6: Final answer
    x = 1,642,300.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.