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Finding the Third Proportional to 533,888 and 799,248

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Solution

The third proportional to 533,888 and 799,248 is: 1,196,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,888 : 799,248 = 799,248 : x
  2. Step 2: Convert to fraction form
    533,888/799,248 = 799,248/x
  3. Step 3: Cross multiply
    533,888x = 799,248 × 799,248
  4. Step 4: Simplify right side
    533,888x = 638,797,365,504
  5. Step 5: Solve for x
    x = 638,797,365,504/533,888
  6. Step 6: Final answer
    x = 1,196,500.70

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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.