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Finding the Third Proportional to 460,462.50 and 943,749

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Solution

The third proportional to 460,462.50 and 943,749 is: 1,934,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,462.50 : 943,749 = 943,749 : x
  2. Step 2: Convert to fraction form
    460,462.50/943,749 = 943,749/x
  3. Step 3: Cross multiply
    460,462.50x = 943,749 × 943,749
  4. Step 4: Simplify right side
    460,462.50x = 890,662,175,001
  5. Step 5: Solve for x
    x = 890,662,175,001/460,462.50
  6. Step 6: Final answer
    x = 1,934,277.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.