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Finding the Third Proportional to 466,454.25 and 979,906.50

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Solution

The third proportional to 466,454.25 and 979,906.50 is: 2,058,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,454.25 : 979,906.50 = 979,906.50 : x
  2. Step 2: Convert to fraction form
    466,454.25/979,906.50 = 979,906.50/x
  3. Step 3: Cross multiply
    466,454.25x = 979,906.50 × 979,906.50
  4. Step 4: Simplify right side
    466,454.25x = 960,216,748,742.25
  5. Step 5: Solve for x
    x = 960,216,748,742.25/466,454.25
  6. Step 6: Final answer
    x = 2,058,544.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.