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Finding the Third Proportional to 286,674.19 and 623,791.13

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Solution

The third proportional to 286,674.19 and 623,791.13 is: 1,357,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,674.19 : 623,791.13 = 623,791.13 : x
  2. Step 2: Convert to fraction form
    286,674.19/623,791.13 = 623,791.13/x
  3. Step 3: Cross multiply
    286,674.19x = 623,791.13 × 623,791.13
  4. Step 4: Simplify right side
    286,674.19x = 389,115,367,628.77
  5. Step 5: Solve for x
    x = 389,115,367,628.77/286,674.19
  6. Step 6: Final answer
    x = 1,357,343.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.