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Finding the Third Proportional to 590,513.63 and 1,264,983.75

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Solution

The third proportional to 590,513.63 and 1,264,983.75 is: 2,709,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,513.63 : 1,264,983.75 = 1,264,983.75 : x
  2. Step 2: Convert to fraction form
    590,513.63/1,264,983.75 = 1,264,983.75/x
  3. Step 3: Cross multiply
    590,513.63x = 1,264,983.75 × 1,264,983.75
  4. Step 4: Simplify right side
    590,513.63x = 1,600,183,887,764.06
  5. Step 5: Solve for x
    x = 1,600,183,887,764.06/590,513.63
  6. Step 6: Final answer
    x = 2,709,817.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.