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Finding the Third Proportional to 513,224.44 and 750,335.06

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Solution

The third proportional to 513,224.44 and 750,335.06 is: 1,096,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,224.44 : 750,335.06 = 750,335.06 : x
  2. Step 2: Convert to fraction form
    513,224.44/750,335.06 = 750,335.06/x
  3. Step 3: Cross multiply
    513,224.44x = 750,335.06 × 750,335.06
  4. Step 4: Simplify right side
    513,224.44x = 563,002,706,016.88
  5. Step 5: Solve for x
    x = 563,002,706,016.88/513,224.44
  6. Step 6: Final answer
    x = 1,096,991.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.