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Finding the Third Proportional to 588,635.50 and 882,953.50

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Solution

The third proportional to 588,635.50 and 882,953.50 is: 1,324,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,635.50 : 882,953.50 = 882,953.50 : x
  2. Step 2: Convert to fraction form
    588,635.50/882,953.50 = 882,953.50/x
  3. Step 3: Cross multiply
    588,635.50x = 882,953.50 × 882,953.50
  4. Step 4: Simplify right side
    588,635.50x = 779,606,883,162.25
  5. Step 5: Solve for x
    x = 779,606,883,162.25/588,635.50
  6. Step 6: Final answer
    x = 1,324,430.63

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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.