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Finding the Third Proportional to 572,505 and 777,516.75

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Solution

The third proportional to 572,505 and 777,516.75 is: 1,055,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,505 : 777,516.75 = 777,516.75 : x
  2. Step 2: Convert to fraction form
    572,505/777,516.75 = 777,516.75/x
  3. Step 3: Cross multiply
    572,505x = 777,516.75 × 777,516.75
  4. Step 4: Simplify right side
    572,505x = 604,532,296,530.56
  5. Step 5: Solve for x
    x = 604,532,296,530.56/572,505
  6. Step 6: Final answer
    x = 1,055,942.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.