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Finding the Third Proportional to 582,533.44 and 787,039.03

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Solution

The third proportional to 582,533.44 and 787,039.03 is: 1,063,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,533.44 : 787,039.03 = 787,039.03 : x
  2. Step 2: Convert to fraction form
    582,533.44/787,039.03 = 787,039.03/x
  3. Step 3: Cross multiply
    582,533.44x = 787,039.03 × 787,039.03
  4. Step 4: Simplify right side
    582,533.44x = 619,430,436,710.94
  5. Step 5: Solve for x
    x = 619,430,436,710.94/582,533.44
  6. Step 6: Final answer
    x = 1,063,338.85

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Why These Related Problems?

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