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Finding the Third Proportional to 533,525.48 and 781,601.91

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Solution

The third proportional to 533,525.48 and 781,601.91 is: 1,145,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,525.48 : 781,601.91 = 781,601.91 : x
  2. Step 2: Convert to fraction form
    533,525.48/781,601.91 = 781,601.91/x
  3. Step 3: Cross multiply
    533,525.48x = 781,601.91 × 781,601.91
  4. Step 4: Simplify right side
    533,525.48x = 610,901,539,853.63
  5. Step 5: Solve for x
    x = 610,901,539,853.63/533,525.48
  6. Step 6: Final answer
    x = 1,145,027.85

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