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Finding the Third Proportional to 533,703 and 811,552.50

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Solution

The third proportional to 533,703 and 811,552.50 is: 1,234,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,703 : 811,552.50 = 811,552.50 : x
  2. Step 2: Convert to fraction form
    533,703/811,552.50 = 811,552.50/x
  3. Step 3: Cross multiply
    533,703x = 811,552.50 × 811,552.50
  4. Step 4: Simplify right side
    533,703x = 658,617,460,256.25
  5. Step 5: Solve for x
    x = 658,617,460,256.25/533,703
  6. Step 6: Final answer
    x = 1,234,052.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.