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Finding the Third Proportional to 460,201.50 and 646,015.50

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Solution

The third proportional to 460,201.50 and 646,015.50 is: 906,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,201.50 : 646,015.50 = 646,015.50 : x
  2. Step 2: Convert to fraction form
    460,201.50/646,015.50 = 646,015.50/x
  3. Step 3: Cross multiply
    460,201.50x = 646,015.50 × 646,015.50
  4. Step 4: Simplify right side
    460,201.50x = 417,336,026,240.25
  5. Step 5: Solve for x
    x = 417,336,026,240.25/460,201.50
  6. Step 6: Final answer
    x = 906,854.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.