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Finding the Third Proportional to 446,044.50 and 718,195.50

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Solution

The third proportional to 446,044.50 and 718,195.50 is: 1,156,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,044.50 : 718,195.50 = 718,195.50 : x
  2. Step 2: Convert to fraction form
    446,044.50/718,195.50 = 718,195.50/x
  3. Step 3: Cross multiply
    446,044.50x = 718,195.50 × 718,195.50
  4. Step 4: Simplify right side
    446,044.50x = 515,804,776,220.25
  5. Step 5: Solve for x
    x = 515,804,776,220.25/446,044.50
  6. Step 6: Final answer
    x = 1,156,397.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.