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Finding the Third Proportional to 294,662 and 460,946

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Solution

The third proportional to 294,662 and 460,946 is: 721,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,662 : 460,946 = 460,946 : x
  2. Step 2: Convert to fraction form
    294,662/460,946 = 460,946/x
  3. Step 3: Cross multiply
    294,662x = 460,946 × 460,946
  4. Step 4: Simplify right side
    294,662x = 212,471,214,916
  5. Step 5: Solve for x
    x = 212,471,214,916/294,662
  6. Step 6: Final answer
    x = 721,067.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.