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Finding the Third Proportional to 287,769 and 586,962

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Solution

The third proportional to 287,769 and 586,962 is: 1,197,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,769 : 586,962 = 586,962 : x
  2. Step 2: Convert to fraction form
    287,769/586,962 = 586,962/x
  3. Step 3: Cross multiply
    287,769x = 586,962 × 586,962
  4. Step 4: Simplify right side
    287,769x = 344,524,389,444
  5. Step 5: Solve for x
    x = 344,524,389,444/287,769
  6. Step 6: Final answer
    x = 1,197,225.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.