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Finding the Third Proportional to 588,576 and 884,664

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Solution

The third proportional to 588,576 and 884,664 is: 1,329,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,576 : 884,664 = 884,664 : x
  2. Step 2: Convert to fraction form
    588,576/884,664 = 884,664/x
  3. Step 3: Cross multiply
    588,576x = 884,664 × 884,664
  4. Step 4: Simplify right side
    588,576x = 782,630,392,896
  5. Step 5: Solve for x
    x = 782,630,392,896/588,576
  6. Step 6: Final answer
    x = 1,329,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.