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Finding the Third Proportional to 467,826.75 and 724,097.25

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Solution

The third proportional to 467,826.75 and 724,097.25 is: 1,120,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,826.75 : 724,097.25 = 724,097.25 : x
  2. Step 2: Convert to fraction form
    467,826.75/724,097.25 = 724,097.25/x
  3. Step 3: Cross multiply
    467,826.75x = 724,097.25 × 724,097.25
  4. Step 4: Simplify right side
    467,826.75x = 524,316,827,457.56
  5. Step 5: Solve for x
    x = 524,316,827,457.56/467,826.75
  6. Step 6: Final answer
    x = 1,120,749.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.