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Finding the Third Proportional to 522,548.75 and 763,660.50

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Solution

The third proportional to 522,548.75 and 763,660.50 is: 1,116,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,548.75 : 763,660.50 = 763,660.50 : x
  2. Step 2: Convert to fraction form
    522,548.75/763,660.50 = 763,660.50/x
  3. Step 3: Cross multiply
    522,548.75x = 763,660.50 × 763,660.50
  4. Step 4: Simplify right side
    522,548.75x = 583,177,359,260.25
  5. Step 5: Solve for x
    x = 583,177,359,260.25/522,548.75
  6. Step 6: Final answer
    x = 1,116,024.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.