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Finding the Third Proportional to 514,410.75 and 781,876.13

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Solution

The third proportional to 514,410.75 and 781,876.13 is: 1,188,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,410.75 : 781,876.13 = 781,876.13 : x
  2. Step 2: Convert to fraction form
    514,410.75/781,876.13 = 781,876.13/x
  3. Step 3: Cross multiply
    514,410.75x = 781,876.13 × 781,876.13
  4. Step 4: Simplify right side
    514,410.75x = 611,330,274,845.02
  5. Step 5: Solve for x
    x = 611,330,274,845.02/514,410.75
  6. Step 6: Final answer
    x = 1,188,408.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.