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Finding the Third Proportional to 533,050.88 and 1,151,455.50

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Solution

The third proportional to 533,050.88 and 1,151,455.50 is: 2,487,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,050.88 : 1,151,455.50 = 1,151,455.50 : x
  2. Step 2: Convert to fraction form
    533,050.88/1,151,455.50 = 1,151,455.50/x
  3. Step 3: Cross multiply
    533,050.88x = 1,151,455.50 × 1,151,455.50
  4. Step 4: Simplify right side
    533,050.88x = 1,325,849,768,480.25
  5. Step 5: Solve for x
    x = 1,325,849,768,480.25/533,050.88
  6. Step 6: Final answer
    x = 2,487,285.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.