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Finding the Third Proportional to 460,741.50 and 721,191.09

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Solution

The third proportional to 460,741.50 and 721,191.09 is: 1,128,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,741.50 : 721,191.09 = 721,191.09 : x
  2. Step 2: Convert to fraction form
    460,741.50/721,191.09 = 721,191.09/x
  3. Step 3: Cross multiply
    460,741.50x = 721,191.09 × 721,191.09
  4. Step 4: Simplify right side
    460,741.50x = 520,116,593,704.32
  5. Step 5: Solve for x
    x = 520,116,593,704.32/460,741.50
  6. Step 6: Final answer
    x = 1,128,868.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.