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Finding the Third Proportional to 466,734 and 720,828.75

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Solution

The third proportional to 466,734 and 720,828.75 is: 1,113,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,734 : 720,828.75 = 720,828.75 : x
  2. Step 2: Convert to fraction form
    466,734/720,828.75 = 720,828.75/x
  3. Step 3: Cross multiply
    466,734x = 720,828.75 × 720,828.75
  4. Step 4: Simplify right side
    466,734x = 519,594,086,826.56
  5. Step 5: Solve for x
    x = 519,594,086,826.56/466,734
  6. Step 6: Final answer
    x = 1,113,255.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.