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Finding the Third Proportional to 472,536.75 and 758,007.75

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Solution

The third proportional to 472,536.75 and 758,007.75 is: 1,215,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,536.75 : 758,007.75 = 758,007.75 : x
  2. Step 2: Convert to fraction form
    472,536.75/758,007.75 = 758,007.75/x
  3. Step 3: Cross multiply
    472,536.75x = 758,007.75 × 758,007.75
  4. Step 4: Simplify right side
    472,536.75x = 574,575,749,060.06
  5. Step 5: Solve for x
    x = 574,575,749,060.06/472,536.75
  6. Step 6: Final answer
    x = 1,215,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.