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Finding the Third Proportional to 466,317 and 720,093

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Solution

The third proportional to 466,317 and 720,093 is: 1,111,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,317 : 720,093 = 720,093 : x
  2. Step 2: Convert to fraction form
    466,317/720,093 = 720,093/x
  3. Step 3: Cross multiply
    466,317x = 720,093 × 720,093
  4. Step 4: Simplify right side
    466,317x = 518,533,928,649
  5. Step 5: Solve for x
    x = 518,533,928,649/466,317
  6. Step 6: Final answer
    x = 1,111,977.32

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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.