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Finding the Third Proportional to 598,964.63 and 1,308,463.88

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Solution

The third proportional to 598,964.63 and 1,308,463.88 is: 2,858,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,964.63 : 1,308,463.88 = 1,308,463.88 : x
  2. Step 2: Convert to fraction form
    598,964.63/1,308,463.88 = 1,308,463.88/x
  3. Step 3: Cross multiply
    598,964.63x = 1,308,463.88 × 1,308,463.88
  4. Step 4: Simplify right side
    598,964.63x = 1,712,077,712,180.02
  5. Step 5: Solve for x
    x = 1,712,077,712,180.02/598,964.63
  6. Step 6: Final answer
    x = 2,858,395.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.