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Finding the Third Proportional to 572,073.75 and 776,940.75

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Solution

The third proportional to 572,073.75 and 776,940.75 is: 1,055,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,073.75 : 776,940.75 = 776,940.75 : x
  2. Step 2: Convert to fraction form
    572,073.75/776,940.75 = 776,940.75/x
  3. Step 3: Cross multiply
    572,073.75x = 776,940.75 × 776,940.75
  4. Step 4: Simplify right side
    572,073.75x = 603,636,929,010.56
  5. Step 5: Solve for x
    x = 603,636,929,010.56/572,073.75
  6. Step 6: Final answer
    x = 1,055,173.27

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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.