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Finding the Third Proportional to 517,015.13 and 744,661.13

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Solution

The third proportional to 517,015.13 and 744,661.13 is: 1,072,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,015.13 : 744,661.13 = 744,661.13 : x
  2. Step 2: Convert to fraction form
    517,015.13/744,661.13 = 744,661.13/x
  3. Step 3: Cross multiply
    517,015.13x = 744,661.13 × 744,661.13
  4. Step 4: Simplify right side
    517,015.13x = 554,520,191,086.27
  5. Step 5: Solve for x
    x = 554,520,191,086.27/517,015.13
  6. Step 6: Final answer
    x = 1,072,541.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.