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Finding the Third Proportional to 367,966.50 and 759,442.50

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Solution

The third proportional to 367,966.50 and 759,442.50 is: 1,567,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,966.50 : 759,442.50 = 759,442.50 : x
  2. Step 2: Convert to fraction form
    367,966.50/759,442.50 = 759,442.50/x
  3. Step 3: Cross multiply
    367,966.50x = 759,442.50 × 759,442.50
  4. Step 4: Simplify right side
    367,966.50x = 576,752,910,806.25
  5. Step 5: Solve for x
    x = 576,752,910,806.25/367,966.50
  6. Step 6: Final answer
    x = 1,567,406.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.