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Finding the Third Proportional to 588,636.75 and 882,955.13

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Solution

The third proportional to 588,636.75 and 882,955.13 is: 1,324,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,636.75 : 882,955.13 = 882,955.13 : x
  2. Step 2: Convert to fraction form
    588,636.75/882,955.13 = 882,955.13/x
  3. Step 3: Cross multiply
    588,636.75x = 882,955.13 × 882,955.13
  4. Step 4: Simplify right side
    588,636.75x = 779,609,752,763.77
  5. Step 5: Solve for x
    x = 779,609,752,763.77/588,636.75
  6. Step 6: Final answer
    x = 1,324,432.69

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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.