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Finding the Third Proportional to 536,712.75 and 726,323.63

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Solution

The third proportional to 536,712.75 and 726,323.63 is: 982,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,712.75 : 726,323.63 = 726,323.63 : x
  2. Step 2: Convert to fraction form
    536,712.75/726,323.63 = 726,323.63/x
  3. Step 3: Cross multiply
    536,712.75x = 726,323.63 × 726,323.63
  4. Step 4: Simplify right side
    536,712.75x = 527,546,008,233.14
  5. Step 5: Solve for x
    x = 527,546,008,233.14/536,712.75
  6. Step 6: Final answer
    x = 982,920.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.