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Finding the Third Proportional to 385,791.19 and 824,780.81

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Solution

The third proportional to 385,791.19 and 824,780.81 is: 1,763,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,791.19 : 824,780.81 = 824,780.81 : x
  2. Step 2: Convert to fraction form
    385,791.19/824,780.81 = 824,780.81/x
  3. Step 3: Cross multiply
    385,791.19x = 824,780.81 × 824,780.81
  4. Step 4: Simplify right side
    385,791.19x = 680,263,388,668.16
  5. Step 5: Solve for x
    x = 680,263,388,668.16/385,791.19
  6. Step 6: Final answer
    x = 1,763,294.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.