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Finding the Third Proportional to 287,791 and 587,000

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Solution

The third proportional to 287,791 and 587,000 is: 1,197,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,791 : 587,000 = 587,000 : x
  2. Step 2: Convert to fraction form
    287,791/587,000 = 587,000/x
  3. Step 3: Cross multiply
    287,791x = 587,000 × 587,000
  4. Step 4: Simplify right side
    287,791x = 344,569,000,000
  5. Step 5: Solve for x
    x = 344,569,000,000/287,791
  6. Step 6: Final answer
    x = 1,197,289.00

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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.