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Finding the Third Proportional to 288,729 and 595,765

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Solution

The third proportional to 288,729 and 595,765 is: 1,229,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,729 : 595,765 = 595,765 : x
  2. Step 2: Convert to fraction form
    288,729/595,765 = 595,765/x
  3. Step 3: Cross multiply
    288,729x = 595,765 × 595,765
  4. Step 4: Simplify right side
    288,729x = 354,935,935,225
  5. Step 5: Solve for x
    x = 354,935,935,225/288,729
  6. Step 6: Final answer
    x = 1,229,304.76

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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.