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Finding the Third Proportional to 525,734.30 and 787,724.37

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Solution

The third proportional to 525,734.30 and 787,724.37 is: 1,180,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,734.30 : 787,724.37 = 787,724.37 : x
  2. Step 2: Convert to fraction form
    525,734.30/787,724.37 = 787,724.37/x
  3. Step 3: Cross multiply
    525,734.30x = 787,724.37 × 787,724.37
  4. Step 4: Simplify right side
    525,734.30x = 620,509,678,660.95
  5. Step 5: Solve for x
    x = 620,509,678,660.95/525,734.30
  6. Step 6: Final answer
    x = 1,180,272.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.