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Finding the Third Proportional to 571,985 and 759,015

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Solution

The third proportional to 571,985 and 759,015 is: 1,007,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,985 : 759,015 = 759,015 : x
  2. Step 2: Convert to fraction form
    571,985/759,015 = 759,015/x
  3. Step 3: Cross multiply
    571,985x = 759,015 × 759,015
  4. Step 4: Simplify right side
    571,985x = 576,103,770,225
  5. Step 5: Solve for x
    x = 576,103,770,225/571,985
  6. Step 6: Final answer
    x = 1,007,200.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.